Q. The statement $( \sim p \land q) \vee \sim q$ is
A) $p \vee q$
B) $p \land q$
C) $\sim (p \vee q)$
D) $\sim (p \land q)$
Explanation
(d)
$( \sim p \land q) \vee \sim q \equiv \sim q \vee ( \sim p \land q)$ (By Commutative law)
$\equiv \sim q \vee (q \land q \sim p)$ (By Commutative law)
$\equiv \sim q \vee q( \sim q \vee \sim p)$ (By Distributive law)
$\equiv \sim (q \land p)$
$\equiv \sim (p \land q)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.