The statement 'P if and only if Q' expresses which kind of relationship?

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Multiple Choice

The statement 'P if and only if Q' expresses which kind of relationship?

Explanation:
This is about a biconditional: P if and only if Q. It means two directions hold: if P is true then Q must be true, and if Q is true then P must be true. So P and Q have the same truth value—both true or both false—and the whole statement is true exactly in those cases. It’s not just one-way implication (that would be “If P then Q” or its reverse) and it’s not a simple “either P or Q” situation.

This is about a biconditional: P if and only if Q. It means two directions hold: if P is true then Q must be true, and if Q is true then P must be true. So P and Q have the same truth value—both true or both false—and the whole statement is true exactly in those cases. It’s not just one-way implication (that would be “If P then Q” or its reverse) and it’s not a simple “either P or Q” situation.

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