The negation of $p \rightarrow(\sim p \vee q)$ is

• A

  $p \vee(p \vee \sim q)$
• B

  $p \rightarrow \sim(p \vee q)$
• C

  $p \rightarrow q$
• Correct answer
  D

  $p \wedge \sim q$

Solution

Here, we observe that the truth value of column $\sim[p \rightarrow(\sim p \vee q)]$ and $(p \wedge \sim q)$ are same. Hence, $$ -[p \rightarrow(-p \vee q)]=(p \wedge-q) $$

Hence, the correct answer is option: 'D'.