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