Question:medium
Let \(p, q, r\) be three statements. Then \( \sim (p \vee (q \wedge r)) \) is equal to
Let \(p, q, r\) be three statements. Then \( \sim (p \vee (q \wedge r)) \) is equal to
Show Hint
Apply De Morgan step-by-step from outermost brackets inward to avoid mistakes.
Updated On: May 8, 2026
- \( (\sim p \wedge \sim q) \wedge (\sim p \wedge \sim r) \)
- \( (\sim p \vee \sim q) \wedge (\sim p \vee \sim r) \)
- \( (\sim p \wedge \sim q) \vee (\sim p \wedge \sim r) \)
- \( (\sim p \vee \sim q) \vee (\sim p \wedge \sim r) \)
- \( (\sim p \wedge \sim q) \vee (\sim p \vee \sim r) \)
Show Solution
The Correct Option is B
Solution and Explanation
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