Question

$\sim \left[\right(\sim p)\wedge q]$ is logically equivalent to

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

Answer 1

The correct option is D $p\vee (\sim q)$

$\sim \left[\right(\sim p)\wedge q]$

By distributive property

$\Rightarrow \sim (\sim p)\vee (\sim q)\Rightarrow p\vee (\sim q)$

So option $D$ is correct.