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Math245Sols1Sum00

Math245Sols1Sum00 - MATH 245 QUIZ 1 SOLUTIONS 1 Only c and...

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MATH 245: QUIZ 1 SOLUTIONS 1) Only c) and e) are equivalent to "If p , then q ". The "Daddy/man" trick should help! 2) Rewrite the original statement as "If I pass this class, then I am going to Disneyland." Converse: If I am going to Disneyland, then I pass this class. Contrapositive: If I am not going to Disneyland, then I do not pass this class. 3) q r ( ) s ¬ p ( ) . Actually, the parentheses are not necessary if the order of operators mentioned in class is adopted. 4) a) p q ¬ p q ( ¬ p q ) ¬ q p ( ¬ q p ) ¬ p q ( ) ¬ q p ( ) T T F T T F T T T T F F F F T T T F F T T T T F F F F F F T F T T F T T b) p q , which is True exactly when both p and q have the same truth value. 5) p q r p q ( ) q r ( ) p q ( ) q r ( ) [ ] p r ( ) p q ( ) q r ( ) [ ] p r ( ) T T T T T T T T T T F T F F F T T F T F T F T T T F F F T F F T F T T T T T T T F T F T F F T T F F T T T T T T F F F T T T T T The final column consists of all "T"s, so the given proposition is a tautology.

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Math245Sols1Sum00 - MATH 245 QUIZ 1 SOLUTIONS 1 Only c and...

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