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Validation of Statement

The expressio...

Question

The expression $\sim (\sim p \to q)$ is logically equivalent to :

A

p \land q

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B

\sim p \land q

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C

\sim p \land \sim q

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D

p \land \sim q

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Solution

The correct option is C $\sim p \land \sim q$
We know that
$p \to q \equiv\sim p \lor q$
then $\sim p \to q \equiv p \lor q$
$\sim (\sim p \to q) \equiv\sim (p \lor q)$
$\equiv\sim p \land \sim q$

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Validation of Statement

Standard XI Mathematics

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