Question

Write the negation, contrapositive, converse, and inverse for the following statement. (Assume that all variables represent fixed quantities or entities, as appropriate.) If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

Answer 1

Explanation:

Given is a statement as

If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

Negation:

If n is not divisible by 6, then n is not divisible by 2 and n is not divisible by 3.

Contrapositive :

If a number n is not divisible by 2 and 3, then n is not divisible by 6.

Converse:

If n is divisible by 2 and n is divisible by 3, then n is divisible by 6

Inverse:

If n is not divisible by 6, then n is not divisible by 2 and n is not divisible by 3.