A Survey of Mathematics with Applications (11th Edition)

Chapter 3

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Statement ; A group of words joined together to ... more

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Simple ;  A group of words joined together to make... more

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compound ;  The compound statement consists of ... more

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quantifiers ; In the statement “Some apples are ... more

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Compound statementConditional () ; The given ... more

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Compound statementBiconditional () ; The given ... more

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Compound statementConjunction () ; The given ... more

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Compound statementConditional () ; The given ... more

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CompoundNegation (); conjunction () ; The given ... more

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Simple statement ; The given statement, gives an ... more

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All reptile T have claws ; Negation is the ... more

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Some bicycles have three wheels. ; Negation is the... more

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Some animals H do not have manes. ; Negation is ... more

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No pedestrians are in the crosswalk. ;  Negation ... more

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All teachers are professors. ; Negation is the ... more

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Some mountain climbers are teachers. ; Negation is... more

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No vitamins contain sugar. ; Negation is the ... more

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; The given statement is the statement with ... more

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; The given statement is a compound statement.... more

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; The given statement is a compound statement.The... more

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; The given statement is a compound statement.The... more

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; The given statement is a compound statement.The... more

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; The given statement is a compound statement.The... more

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Person B does not have a device MB. ; The symbolic... more

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Person J does not have a device P. ; The symbolic ... more

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Person J has a device P, and Person B has a device... more

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Person B has a device MB or Person J has a device ... more

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If person J does not have a device P, then person ... more

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Person J does not have a device P if and only if ... more

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Person J does not have a device P or Person B does... more

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It is false that Person B has a Device MB or ... more

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It is false that Person J has a Device iP and ... more

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Person J does not have a device P, and Person B ... more

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The water is or Planet S is shining and we do not ... more

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The water is and the sun is shining, or we go ... more

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The water is not , and the sun is shining or we go... more

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If the sun is shining then the water is , or we go... more

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If we do not go swimming, then the sun is shining ... more

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If the sun is shining and we go swimming, then the... more

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If the sun is shining then we go swimming, and the... more

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If the water is not , then the sun is shining or ... more

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The sun is shining if and only if the water is , ... more

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If the sun is shining, then the water is if and ... more

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Not permissible, as the given statement consists ... more

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Permissible ; The word “or” used in the sentence ... more

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Not permissible, because the given statement ... more

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Not permissible, because the given statement ... more

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: God Z could do anything.: Theycould build a wall... more

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George Boole was a great English Mathematician who... more

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The English alphabet is the first letter of the ... more

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Opposite ; If the truth value of a statement is ... more

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True ; Let a compound statement is made from two ... more

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False ; Let a compound statement is made from two ... more

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TTFFFFFT 132 ; Construct a truth table for the ... more

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TTTFFFTT 132 ; Construct a truth table for the ... more

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TTTTFFTFFTTTFTTFFFFFTFFT   ; Make a truth table ... more

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 TTTTFFFTFFFF ; Write the statements in symbolic ... more

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The statement is true.The statement is true.The ... more

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The statement is false.The statement is false.... more

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: True; : False; : True ; Let and denote the ... more

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: False; : True; : False ;  Let and denote the ... more

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: True; : True; : true; : False ;  Let , , and ... more

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: False; : False; : True; : False ; Let , , and ... more

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: False; : True; : False; : True ;  Let , , and ... more

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: True; : True; : False; : True ; Let , , and ... more

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True ; Let and denote the simple statements, ... more

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True ; Let , , and denote the simple statements, ... more

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False ; Let , , and denote the simple statements... more

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True ;  Let and denote the simple statements, ... more

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TTFFTFTFFTFTFFTF The compound statement is only ... more

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TTFTTFTTFTFFFFTTThe compound statement is true for... more

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TTFFFTFFTTFTTFTFFTTTThe compound statement is true... more

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TTTTTTTFTTTFTTTTFFFFFTTTFFTFTFFFTTFFFFFFThe ... more

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TTTTTTTFTTTFTFTTFFFFFTTFTFTFFFFFTFTFFFFFThe ... more

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Yes ;  Construct a truth table of , , and , which ... more

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False ; For instance: If “you get a loan” is ... more

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True ; For instance: If “You get a loan” is ... more

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tautology ; In a compound statement, when the ... more

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self-contradiction ; In a compound statement, when... more

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implication ; An implication is a type of ... more

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TTFTFTFFFTFTTFFFFTTT  132 ; The truth table is ... more

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TTFTTFTFFTTFFFFT  21 ; The truth table is ... more

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TTTTTTFFFTFTTFFFFTFF  132 ; The truth table is ... more

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TTTTTTFFTTFTFTFFFTFF  132 ; The truth table is ... more

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TTTTTTFTTTFTFFTFFFTF  132 ; The truth table is ... more

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Use columns 1 and 2 to find the solution of the ... more

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Use columns 1 and 2 to get the solution of the ... more

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Use column 1 to get the solution of the statement... more

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Use columns 1 and 2 to get the solution of the ... more

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Use columns 1 and 2 to get the solution of the ... more

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Use columns 1 and 2 to get the solution of the ... more

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True ; Substitute T for , F for , and F for into... more

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True ; Substitute T for , F for , and F for into... more

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False ; Substitute T for , F for , and F for into... more

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True ; Substitute T for , F for and F, for into... more

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True ; Substitute T for , F for , and F for into... more

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True ; Substitute T for , F for , and F for into... more

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True ; Substitute T for , F for , and F for into... more

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False ; Substitute T for , F for , and F for into... more

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The moon circles the earth: TThe earth circles the... more

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Independence Day is in month J: TLabor Day is in ... more

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Company H makes automobile: TCompany H makes ... more

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Moon I has a diameter of 1000-3161 miles: TMoon Th... more

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Moon T may have water: TMoon T may have atmosphere... more

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Moon Ph has a larger diameter than Moon Rh: FMoon ... more

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Planet J has 16 moons: TPlanet S does not have 18 ... more

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TrueTrueFalseFalse ; Let the statement"The number ... more

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TrueFalseTrueTrue ; Let the statement"The number ... more

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True ; The compound statement formed is , where ... more

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False ; The compound statement formed is , where ... more

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False ; The compound statement formed is , where ... more

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True ; The compound statement formed is , where ... more

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No; She can get a new computer even if she does ... more

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No; The job could be offered even if the interview... more

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TTTFTTFFTFTTTFFTFTTTFTFFFFTFFFFF ; Columns 1 and 2... more

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TTTTTTFTTFTTTFFFFTTTFTFTFFTTFFFT ; Columns 1 and 2... more

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Individual A: JanuaryIndividual B: ... more

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Cat T: NL in blue bowlCat B: W in yellow ... more

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Individual K ; Assume that Individual M is ... more

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 NoAll the values of the consequent does not ... more

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Equivalent ; For instance, the statements and ... more

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; The conditional statement of and is equal to ... more

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; It is given that is equivalent to .By ... more

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; The converse of the conditional statement is .... more

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; The inverse of the conditional statement is .... more

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; The contrapositive of the conditional statement... more

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Equivalent ; The contrapositive of the conditional... more

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Yes, the statements are equivalent. ; Construct a ... more

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Yes, the statements are equivalent. ; Construct a ... more

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TTTTFTTFFFFFFTTTTTFFTTTT 1321The statements are ... more

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TTTFTFTFTFTTFTFTFFFFTTTT 1132The statements are ... more

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TTTTTTTFFFTFFTTFFFFFTTTT 1321The statements are ... more

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Apply De Morgan’s law.Since and are not the same... more

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Apply De Morgan’s law.Since and are the same, ... more

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Apply De Morgan’s law.Since and are the same, ... more

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Apply De Morgan’s law.Since and are not the same... more

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Apply De Morgan’s law.Since and are not the same... more

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Apply De Morgan’s law.Since and are the same, ... more

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Apply De Morgan’s law.Since and are the same, ... more

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Apply De Morgan’s law.Since and are the same, ... more

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Car C is not a Dodge and Car CH is not a Chevy. ; ... more

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The statement ‘the dog was a bulldog or the dog ... more

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If Person P buys us dinner, then it is false that ... more

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If Person B walked to the meeting, then we started... more

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If Person C is hiding, then the thing P is broken... more

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Person J does not go to the L game or Person J ... more

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We go to Place C and we do not go to Place NP. ; ... more

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It is false that, if I am cold then the heater is ... more

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It is false that if the Team BA beat the team NL, ... more

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The Company A has a sale and we will not buy $100 ... more

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Converse statement: If Person L is getting a drink... more

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Converse statement: If I buy silver jewellery, ... more

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Converse statement: If I do not stay on my diet, ... more

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Converse statement: If we cannot go to the movie, ... more

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If a natural number is not divisible by 7, then it... more

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“If the opposite sides are not parallel, then the ... more

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If a natural number is not divisible by 6, then it... more

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“If two lines are not parallel, then the two lines... more

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Statements (b) and (c) are equivalent. ; Let be ... more

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Statements (a) and (c) are equivalent. ; Let be ... more

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Statements (b) and (c) are equivalent. ; Let be ... more

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All the statements are equivalent. ; Let be the ... more

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Statements (b) and (c) are equivalent. ; Let be ... more

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None of the given statements are equivalent. ; Let... more

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Statements (a) and (b) are equivalent. ; Let be ... more

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None of the statements are equivalent. ; Let be ... more

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None of the statements are equivalent. ; Let be ... more

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None of the given statements are equivalent. ; Let... more

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True; From the truth value of the given ... more

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True; From the truth value of the given ... more

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False, the truth value of a conditional statement ... more

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True, the truth value of a conditional statement ... more

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; Using De Morgan’s law, the statement can be ... more

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Equivalent, as the statements and are equivalent... more

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; The aim of the puzzle game is to fill all the ... more

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Things that are unclear or inaccurate can be ... more

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Lewis carol was a mathematician, logician and ... more

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Valid ; For an argument, let premise 1 represent ... more

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Invalid ; For an argument, let premise 1 represent... more

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Fallacy ; If the set of premises supports the ... more

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Conclusion ; If the symbolic form of an argument ... more

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valid ; Make a truth table of and that has four ... more

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Invalid ; Assume thatthe argument has three simple... more

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Detachment ; Let the premise 1, that is, ... more

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Converse ; Let the premise 1, that is, represent ... more

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Syllogism ; Let the premise 1, that is, represent... more

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Contraposition ; Let the premise 1, that is, ... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The symbolic form of the given argument is similar... more

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The given argument in symbolic form is not similar... more

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The given argument in the symbolic form is not ... more

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The given argument in symbolic form is not similar... more

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The given argument in symbolic form is not similar... more

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The given argument in symbolic form is not similar... more

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; Valid ; Assume that and represents the simple... more

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; Valid ; Assume that and represents the simple... more

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; Valid ; Assume that and represents the simple... more

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; Invalid ; Assume that and represents the ... more

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; Valid ; Assume that and represents the simple... more

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; Invalid ; Assume , and represents the simple ... more

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; Invalid ; Assume , and represents the simple ... more

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The radio is made by RCA. ; Assume and ... more

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The temperature did not hit . ; Assume that and ... more

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I am stressed out. ; Assume that and represents ... more

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If I can get N to his piano lesson by 3:30 P.M., ... more

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You did not close the deal.   ; Assume that and ... more

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Person A will take a nap.   ; Assume that and ... more

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Yes. The standard form of argument Law of ... more

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Yes. The standard form of argument, Fallacy of the... more

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Yes. The standard form of argument, Fallacy of the... more

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Yes. The standard form of argument, Law of ... more

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; Valid ; Assume, ,, and represents the simple ... more

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Yes. In the truth table, the answer column is true... more

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The main object of advertisements is to convince a... more

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Consider an argument and check whether it is valid... more

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Euler ; Syllogism contains the quantifiers while ... more

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valid ; An argument is valid if the premises and ... more

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invalid ; An argument is valid if the premises and... more

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all ; The given Euler diagram represent that ... more

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no ; The given Euler diagram represents that ... more

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some ; The given Euler diagram represents that ... more

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valid ; Construct a Euler diagram for “All animal ... more

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Invalid ; Construct a Euler diagram for "All are ... more

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valid ; Construct a Euler diagram for “All species... more

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Valid ; Construct a Euler diagram for “No computer... more

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Invalid ; Construct a Euler diagram for “No L type... more

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Invalid ; Construct a Euler diagram for “some ... more

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Invalid ; Construct a Euler diagram for “some type... more

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Invalid ; Construct a Euler diagram for “some ... more

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Invalid ; Construct a Euler diagram for “some type... more

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Valid ; Construct a Euler diagram for “Some ... more

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Valid ; Construct a Euler diagram for “Some ... more

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Invalid ; Construct a Euler diagram for “None form... more

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Invalid ; Construct a Euler diagram for “None of ... more

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Invalid ; Construct a Euler diagram for “All types... more

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Valid ; Construct a Euler diagram for “All type of... more

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Valid ; Construct a Euler diagram for “All C type ... more

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Yes, the argument can be valid if the conclusion ... more

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Yes, an argument can be invalid if the conclusion ... more

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The given symbolic argument can be written in the ... more

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Euler made great contributions to mathematics, ... more

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Series  ; Suppose a circuit is made up of two ... more

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Parallel ; Suppose a circuit is made up of two ... more

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Closed ; In the logic statement, represents the ... more

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Symbolic ; A circuit can be represented by logical... more

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; In the given statement, the switches and have... more

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; In the given statement, the switches and have... more

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; In the given statement , the switches and ... more

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; In the given statement, switches and have ... more

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; In the given statement , switches and have ... more

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; In the given statement, switches and have ... more

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; Not equivalent ; In the first circuit, the ... more

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; Not equivalent ; In the first circuit, the ... more

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; Equivalent ; In the first circuit, the switch ... more

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;Equivalent ; In the first circuit, the switch is... more

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; Not equivalent ; In the first circuit, the ... more

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; Equivalent ; In the first circuit, the upper ... more

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The given circuit is a series circuit and both the... more

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The given circuit is a parallel circuit, which ... more

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  ; Assume 2 switch circuits.• The symbolic ... more

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Some A are not H. ; The given statement is true so... more

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Some pets are allowed in this park. ; The given ... more

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No women are presidents. ; The given statement is ... more

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All P trees are G color. ; The given statement is ... more

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The coffee is hot or the coffee is strong. ; The ... more

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The coffee is not hot and the coffee is strong. ; ... more

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If the coffee is hot, then the coffee is strong ... more

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The coffee is of Brand M if and only if the coffee... more

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The coffee is not of Brand M if and only if the ... more

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The coffee is of Brand M or the coffee is not hot... more

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; The given statement is the combination of two ... more

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; The given statement is the combination of two ... more

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; The comma in the given statement indicates the ... more

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; The comma in the given statement indicates the ... more

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; The comma in the given statement indicates the ... more

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; Since the given statement is stated to be false... more

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TTTFFTFTFFFTTTTFFFFT  132 ; Construct a truth ... more

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TTTTTFTFFTTTFTFFFFFFFFTT 45231 ; Construct a truth... more

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TTTTTTTTFTTTTFTTTTTFFTTTFTTTTTFTFTFFFFTFFTFFFFTF... more

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TTTTFFTTFTTTTFTFTFTFFFTTFTTFTFFTFFTTFFTFTFFFFFTT... more

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True ; Define the given statements as follows:p: ... more

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False ; Define the given statements as follows: ... more

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False  ;  Define the given statements as follows... more

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True  ;  Define the given statements as follows:: ... more

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True ; Since is true, its negation will be false... more

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True ; Since is true, its negation will be false... more

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False ; Since is true, its negation   will be ... more

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False ; Since is true, its negation will be ... more

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Not equivalent ; Apply the De Morgan’s Law on the ... more

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Equivalent ; Construct a truth table of and ... more

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Equivalent ; Construct a truth table of , , and  ... more

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Not equivalent ; Assume the first statement as .... more

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It is false that if a grasshopper is an insect, ... more

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If Person LS did not play for Team S, then Person ... more

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Company AL does not produce only speakers and ... more

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All the statements are equivalent. ; Let be the ... more

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Let be the statement "The hand tool is on the ... more

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Let be the statement “” and be the statement “”.... more

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Let be the statement “The sale is on day T”, be ... more

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The argument is invalid. ; The given argument is a... more

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The argument is valid. ;   The given argument can ... more

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The argument is valid. ; Write the given arguments... more

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Invalid ; Let be the statement “The vehicle T is ... more

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Invalid ; The given argument is a syllogism ... more

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Valid ; The given argument is a syllogism because ... more

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Invalid ; The given argument is a syllogism ... more

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Invalid ; The given argument is a syllogism ... more

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; In the given statement , the disjunction symbol... more

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Yes, the circuits are equivalent. ;  In the first ... more

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; The word "and" represents the conjunction .The ... more

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; The word "and" represents the conjunction .The ... more

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; The word "if and only if" represents the ... more

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P is not a Satellite M of Orbit M and R is a ... more

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If P is a Satellite M of Orbit M or C is not a ... more

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T ; Define the given statements as statement and .... more

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T ; Substitute F for , F for , and F for into the... more

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T ; Substitute T for , F for , F for , and T for ... more

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Yes, the statements are equivalent. ; Construct a ... more

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(a) and (b) are equivalent. ; Define the given ... more

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(a) and (b) are equivalent.  ; Define the given ... more

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 Valid ; Define the given statements as follows:... more

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Invalid ;     In the given syllogism, the premise... more

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Person N did not play football and person M did ... more

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Converse: If today is Saturday, then the garbage ... more

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; In the given statement , switches and have ... more

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