Solveeit Logo

Question

Mathematics Question on validating statements

The negation of the statement "72 is divisible by 2 and 3" is

A

72 is not divisible by 2 or 72 is not divisible by 3

B

72 is not divisible by 2 or 72 is divisible by 3

C

72 is not divisible by 2 and 72 is divisible by 3

D

72 is not divisible by 2 and 3

Answer

72 is not divisible by 2 or 72 is not divisible by 3

Explanation

Solution

(pq)=pq\sim (p \wedge q) = \sim p \vee \sim q
\therefore Negation of the given statement is, 72 is not divisible by 2 or 72 is not divisible by 3.