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Question: Answered & Verified by Expert
$\sim(p \vee(\sim q))$ is equal to
MathematicsMathematical ReasoningJEE Main
Options:
  • A $\sim p \vee q$
  • B $(\sim p) \wedge q$
  • C $\sim p \vee \sim p$
  • D $\sim p \wedge \sim q$
Solution:
1577 Upvotes Verified Answer
The correct answer is: $(\sim p) \wedge q$
$\sim(p \vee(\sim q)) \equiv \sim p \wedge \sim(\sim q) \equiv(\sim p) \wedge q$

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