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Question: Answered & Verified by Expert
If $p: A$ man is happy, $q: A$ man is rich, then the symbolic form of ' $A$ man is neither happy nor rich' is
MathematicsMathematical ReasoningMHT CETMHT CET 2022 (08 Aug Shift 1)
Options:
  • A $\sim p \wedge q$
  • B $\sim p \vee \sim q$
  • C $p \vee q$
  • D $\sim(p \vee q)$
Solution:
2864 Upvotes Verified Answer
The correct answer is: $\sim(p \vee q)$
A man is neither happy nor rich
$\equiv$ (Man is not happy) and (Man is not rich)
$\equiv \sim P \wedge \sim q$
$\equiv \sim(P \vee q)$

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