Question

The dual of the statement $[p\vee (\sim q)\wedge (\sim p\left)\right]$ is

• A. $p\vee (\sim q)\wedge \sim p$
• B. $(p\wedge \sim q)\vee \sim p$
• C. $p\wedge \sim (q\vee \sim p)$
• D. None of these

Answer 1

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

Dual of the statement is obtained by replacing $\vee$ with $\wedge$, $\wedge$ with $\vee$, each T with F and each F with T but no need to change the negation.

$\therefore$ Dual of the given statement is $(p\wedge \sim q)\vee \sim p$.