Q. If $S(p,\ q,\ r) = (\sim P) \vee \lbrack\sim(q \land r)\rbrack$ is a compound statement, then $S(\sim p,\sim q,\ \sim r)$ is
A) $\sim S(p,q,r)$
B) $S(p,q,r)$
C) $p \vee (q \land r)$
D) $p \vee (q \vee r)$
Explanation
(d)
$S(p,q,r) = (\sim p) \vee \lbrack \sim (q \land r)\rbrack$
$= ( \sim p) \vee \lbrack \sim q \vee \sim r\rbrack$
$\Rightarrow S\ (\sim p,\ \sim q,\ \sim r) = p \vee (q \vee r)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.