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Let P and Q be statements, then P<->Q is logically equivalent to __________

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Let P and Q be statements, then P<->Q is logically equivalent to __________

(a) P<->~Q

(b) ~P<->Q

(c) ~P<->~Q

(d) None of the mentioned

I have been asked this question during an interview for a job.

The query is from Logics topic in chapter The Foundation: Logics and Proofs of Discrete Mathematics

1 Answer

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Correct answer is (c) ~P<->~Q

The best explanation: Both of them have same truth table, Hence they are equal.

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