Question:
The proposition \( \neg (p \iff q) \) is equivalent to
The proposition \( \neg (p \iff q) \) is equivalent to
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The logical equivalence of negating a biconditional is the disjunction of the negations of the components.
Updated On: Jan 6, 2026
- \( (p \vee \neg q) \land (q \vee \neg p) \)
- \( (p \vee q) \land (\neg p \vee \neg q) \)
- \( (p \neg q) \lor (q \neg p) \)
- None of the above
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The Correct Option is B
Solution and Explanation
Step 1: Logical expression equivalency.
Using logical equivalencies, \( \neg (p \iff q) \) is equivalent to \( (p \vee q) \land (\neg p \vee \neg q) \).
Step 2: Conclusion.
The correct equivalence is \( (p \vee q) \land (\neg p \vee \neg q) \), corresponding to option (2).
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