Negative of statement ∼ p wedge(p vee q) is

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Mathematical Reasoning

easy

The negative of the statement $\sim p \wedge(p \vee q)$ is

A

$\sim p \vee q$

B

$p \vee \sim q$

C

$\sim p \wedge q$

D

$p \wedge \sim q$

(JEE MAIN-2021)

Solution

$\sim(\sim p \wedge(p \vee q))$

$p \vee(\sim p \wedge \sim q)$

$\underbrace{(p v \sim p)}_{t} \wedge(p v \sim q)$

$p \vee \sim q$

Standard 11

Mathematics

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