Q. The negation of $p \land (q \rightarrow \sim r)$ is
A) $\sim p \land (q \land r)$
B) $p \vee (q \vee r)$
C) $p \vee (q \land r)$
D) $\sim p \vee (q \land r)$
Explanation
(d)
$\sim \left( p \land (q \longrightarrow \sim r) \right) = \sim p \vee \sim (q \longrightarrow \sim r)$
$= \sim p \vee (q \land \sim ( \sim r))$
$= \sim p \vee (q \land r)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.