3. Consider the following propositions: P→ 9. g^-P. -P→→q, -pvq, 9 → P. -q V p. -9→P. P^-4. (a) Which proposition is the converse of p → q? (b) Which proposition is the contrapositive of p→q? (c) Which propositions are logically equivalent to P→q?

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A: We have to show that statements are logically equivalent.

Q: us the laws of propositional logic to prove

A: To Prove- Use the laws of propositional logic to prove  p ∧ q ∧ ¬r ∨ p ∧ ¬q ∧ ¬r ≡ p ∧ ¬r

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A: Given- (p∧q)→((¬p) ↔q)  and (¬p)∨(¬q) To prove- The above given prepositions are logically…

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Q: (d) State whether or not P = Q, when P is the proposition (p → q) –→ (q ^ r) and Q is the…

A: Truth table: A truth table is a tabular representation of all the possible combinations of input…

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Q: Which of the following is a valid equivalency for ¬(p^q) according to the laws of propositional…

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Q: 2) r -(-r^s) ::-(rvs) r S TT TF FT FF

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