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# Finite Math 150 week 2 notes MATH-150

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This 4 page Class Notes was uploaded by Nicole Vaughan on Monday October 10, 2016. The Class Notes belongs to MATH-150 at American University taught by Chris Mitchell in Fall 2016. Since its upload, it has received 10 views. For similar materials see Finite Mathematics in Applied Mathematics at American University.

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Date Created: 10/10/16

Truth Tables 8/31/16 Sunday, October 9, 2016 10:59 PM Way of representing a compound statement Must be true or false but not both! Negation p ~p T F F T Conjunction p q P⋀q T T T Value depends on truth of p&q T F F Entire thing CANNOT be true if one of the statements is false F T F F T F F F F Disjunction p q P⋁q If one of the statements is true then the disjunction is true T T T T F T False when both are false F T T F F F Conditional p q P →q Truth Tables 8/31/16 Sunday, October 9, 2016 10:59 PM Way of representing a compound statement Must be true or false but not both! Negation p ~p T F F T Conjunction p q P⋀q T T T Value depends on truth of p&q T F F Entire thing CANNOT be true if one of the statements is false F T F F T F F F F Disjunction p q P⋁q If one of the statements is true then the disjunction is true T T T T F T False when both are false F T T F F F Conditional p q P →q Conditional p q P →q T T T If the hypothesis is T and the conclusion is F then the statement is F T F F F T T F F T Bi-Conditional p q P ↔▯q T T T P=Q T F F Statements must have the same truth value F T F F F T Conditional p q P →q T T T If the hypothesis is T and the conclusion is F then the statement is F T F F F T T F F T Bi-Conditional p q P ↔▯q T T T P=Q T F F Statements must have the same truth value F T F F F T

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