Gujarati
Mathematical Reasoning
easy

The negative of $q\; \vee \sim (p \wedge r)$ is

A

$\sim q\; \wedge \sim (p \wedge r)$

B

$\sim q \wedge (p \wedge r)$

C

$\sim q \vee (p \wedge r)$

D

None of these

Solution

(b)$\sim (q\; \vee \sim (p \wedge r)) = \;\sim q \wedge (\sim (\sim (p \wedge r))$

$= \;\sim q \wedge (p \wedge r)$.

Standard 11
Mathematics

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