Question

Which of the following is logically equivalent to $\sim (\sim p\Rightarrow q)$?

• A. $p\wedge q$
• B. $p\wedge \sim q$
• C. $\sim p\wedge q$
• D. $\sim p\wedge \sim q$

Answer 1

Answer: (D)

Since $\sim (p\Rightarrow q)=p\wedge \sim q$
$\sim (\sim p\Rightarrow q)=\sim p\wedge \sim q$. Hence $(d)$ is correct.