Question:
The negation of \( \sim (p \land q) \lor (p \land \sim q) \) is?
The negation of \( \sim (p \land q) \lor (p \land \sim q) \) is?
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When negating logical expressions, apply De Morgan’s laws and simplify using logical equivalences.
Updated On: Jan 12, 2026
- \( \sim (p \lor q) \lor (\sim p \lor q) \)
- \( (p \lor \sim q) \land (p \lor q) \)
- \( (p \lor \sim q) \lor (p \lor \sim q) \)
- \( (p \lor \sim q) \land (p \lor q) \)
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The Correct Option is B
Solution and Explanation
By applying De Morgan’s Law and simplifying the expression, we find that the negation of the given logical expression is \( (p \lor \sim q) \land (p \lor q) \).
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