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The statement ~(p ↔ ~q) is:

1. a tautology
2. a fallacy
3. equivalent to p ↔ q
4. equivalent to ~p ↔ q

Correct answer: equivalent to p ↔ q

Solution

The expression ~(p ↔ ~q) negates the biconditional relationship between p and the negation of q, which simplifies to p being equivalent to q, thus confirming that it is equivalent to p ↔ q.

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