Question

Q.No.1 Answer the following questions. Part (a): Using laws of propositional logic check that the statement (p ∧ q) → (p ∨q) is a tautology or contradiction? Part (b): Let p and q be the propositions. p :You drive over 65 miles per hour. q :You get a speeding ticket. Write these propositions using p and q and logical connectives in including negations. i. You do not drive over 65 miles per hour ii. You drive over 65 miles per hour, but you do not get a speeding ticket. iii. Driving over 65 miles per hour is sufficient for getting a speeding ticket. iv. If you do not drive over 65 miles per hour, then you will not get a speeding ticket. Part (c): If p→q is false can you find the truth value of ~ (p ∧ q) →q? Explain your answer.

Answer 1

Step-by-step explanation:

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