Q. Simplify $(p \vee q) \land (p \vee \sim q)$
A) $p$
B) $T$
C) $F$
D) $q$
Explanation
(a)
$(p \vee q) \land (p \vee \sim q)$
$= p \vee (q \land \sim q)$ (distributive law)
$= p \vee 0$ (complement law)
$= p$ (0 is identify for v)
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.