MATH 311W Quiz: Math 311w quiz04

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31 Jan 2019
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Instructions: clearly answer each of the questions below. Remember to check the back side if blank, you can use it for scrap work. Show your work and any formulas you employ. Math 311, quiz 4: list the truth-table de nitions for the logical operations p q and p. F: identify the following logic identities. (a) (p (q p)) p. Answer:absorption law (b) (p (q r)) ((p q) r) Answer:associative law of conjunction (c) (p (q r)) ((p q) (p r)) (d) ( p q) (p q) Answer: if meg can save charles and ms. whatsit knows where or ms. who doesn"t know when then. Which knows why: prove the tautology p ( p q) by deduction. Answer: p ( p q) given p ( p q) de nition of implication p (p q) P (p q) ( p p) q.