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.

Question

Mathematics

Raquel Cherry

3 December, 13:27

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.

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Answers (1)

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Joshua Potter · Answer 1

Step-by-step 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.