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p ∧ q is logically equivalent to ________

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p ∧ q is logically equivalent to ________

(a) ¬ (p → ¬q)

(b) (p → ¬q)

(c) (¬p → ¬q)

(d) (¬p → q)

I had been asked this question in final exam.

I'd like to ask this question from Logics in portion The Foundation: Logics and Proofs of Discrete Mathematics

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The correct choice is (a) ¬ (p → ¬q)

To explain I would say: (p ∧ q) ↔ (¬(p → ¬q)) is tautology.

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