Q. The negation of the proposition "If 2 is prime, then 3 is odd" is
A) If 2 is not prime, then 3 is not odd
B) 2 is prime and 3 is not odd
C) 2 is not prime and 3 is odd
D) If 2 is not prime, then 3 is odd
Explanation
(b)
Let $p = 2$ is prime
and $q = 3$ is odd
Given, $p \rightarrow q$
Negation of $p \rightarrow q$ is $\sim (p \rightarrow q)$
$\Longrightarrow \ \ \ \ \ p \land \sim q$
$\Longrightarrow$ 2 is prime and 3 is not odd.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.