The negation of the statement pattern sim p v | vedclass

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Question

(C) To find the negation of the statement pattern $\sim p \vee (q \rightarrow \sim r)$,we apply the negation operator $\sim$ to the entire expression:

Vedclass · Accepted Answer

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

Vedclass · Answer

(C) To find the negation of the statement pattern $\sim p \vee (q \rightarrow \sim r)$,we apply the negation operator $\sim$ to the entire expression:$\sim [\sim p \vee (q \rightarrow \sim r)]$Using De Morgan's Law,$\sim (A \vee B) \equiv \sim A \wedge \sim B$:$\equiv \sim (\sim p) \wedge \sim (q \rightarrow \sim r)$$\equiv p \wedge \sim (\sim q \vee \sim r)$Using De Morgan's Law again,$\sim (\sim q \vee \sim r) \equiv q \wedge r$:$\equiv p \wedge (q \wedge r)$Thus,the correct option is $C$.

The negation of the statement pattern $\sim p \vee (q \rightarrow \sim r)$ is

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