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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) ¬q ↔ ¬p

I had been asked this question by my college professor while I was bunking the class.

This interesting question is from Logics in chapter The Foundation: Logics and Proofs of Discrete Mathematics

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The correct option is (a) p ↔ ¬q

To elaborate: (¬ (p ↔ q)) ↔ (p ↔ ¬q) is tautology.

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