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 divisible by 2 or 72 is divisible by 3. C.72 is divisible by 2 and 72 is divisible by 3. D.72 is not divisible by 2 and 3.

Garrett Mclaughlin

Garrett Mclaughlin

Answered question

2022-11-27

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 divisible by 2 or 72 is divisible by 3.
C. 72 is divisible by 2 and 72 is divisible by 3.
D. 72 is not divisible by 2 and 3.

Answer & Explanation

Rayan Atkins

Rayan Atkins

Beginner2022-11-28Added 9 answers


The claims should stand.
p: 72 is divisible by 2.
and q: 72 is divisible by 3.
So, we have to find ∼(p ∧q).
∼(p ∧q)= ∼p ∨∼q
∴ "72 is not divisible by 2 or by 3" is the negation of the claim that is made.
 

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