Question

Which of the following is not logically equivalent?

• A. $\sim \left(p\to q\right)$ and $\left(p\wedge \sim q\right)$
• B. $\sim \left(p\vee q\right)$ and $\left(\sim p\right)\wedge \left(\sim q\right)$
• C. $p\to q$ and $\left(\sim p\right)\wedge q$
• D. $\sim \left[p\vee \left(\sim q\right)\right]$ and $\left(\sim p\right)\wedge q$

Answer 1

Answer: (C)

$p\to q\equiv \left(\sim p\right)\vee q$