Question:medium
Let \( p, q \) and \( r \) be any three logical statements. Which one of the following is true?
Let \( p, q \) and \( r \) be any three logical statements. Which one of the following is true?
Show Hint
To negate a logic bracket: 1. Negate the first term. 2. Flip the sign (\( \wedge \) to \( \vee \), or \( \vee \) to \( \wedge \)). 3. Negate the second term.
Updated On: May 6, 2026
- \( \sim [p \wedge (\sim q)] \equiv (\sim p) \wedge q \)
- \( \sim (p \vee q) \wedge (\sim r) \equiv (\sim p) \vee (\sim q) \vee (\sim r) \)
- \( \sim [p \vee (\sim q)] \equiv (\sim p) \wedge q \)
- \( \sim [p \wedge (\sim q)] \equiv (\sim p) \wedge \sim q \)
- \( \sim [p \wedge (\sim q)] \equiv p \wedge q \)
Show Solution
The Correct Option is C
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