The statement sim[p vee (sim(p wedge q))] is | vedclass

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(D) Given statement: $\sim[p \vee (\sim(p \wedge q))]$ Applying De Morgan's Law: $\sim p \wedge \sim(\sim(p \wedge q))$ Using the Law of Double Negati

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

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(D) Given statement: $\sim[p \vee (\sim(p \wedge q))]$ Applying De Morgan's Law: $\sim p \wedge \sim(\sim(p \wedge q))$ Using the Law of Double Negation: $\sim p \wedge (p \wedge q)$ Using the Associative Law: $(\sim p \wedge p) \wedge q$ Since $(\sim p \wedge p)$ is a contradiction $(F)$,we have: $F \wedge q = F$ Checking the options,option $D$ is $(p \wedge q) \wedge (\sim p)$,which is equivalent to $(p \wedge \sim p) \wedge q = F \wedge q = F$. Thus,the statement is equivalent to $(p \wedge q) \wedge (\sim p)$.

The statement $\sim[p \vee (\sim(p \wedge q))]$ is equivalent to

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