The negation of the statement (p vee q) wedge | vedclass

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(A) Let the statement be $S = (p \vee q) \wedge (q \vee (\sim r))$.The negation of $S$ is $\sim S = \sim [(p \vee q) \wedge (q \vee (\sim r))]$.Using

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

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(A) Let the statement be $S = (p \vee q) \wedge (q \vee (\sim r))$.The negation of $S$ is $\sim S = \sim [(p \vee q) \wedge (q \vee (\sim r))]$.Using De Morgan's Law,$\sim (A \wedge B) = (\sim A) \vee (\sim B)$:$\sim S = \sim (p \vee q) \vee \sim (q \vee (\sim r))$.Applying De Morgan's Law again,$\sim (p \vee q) = (\sim p \wedge \sim q)$ and $\sim (q \vee (\sim r)) = (\sim q \wedge r)$:$\sim S = (\sim p \wedge \sim q) \vee (\sim q \wedge r)$.

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

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