Write the contrapositive of the following true statement fro

Write the contrapositive of the following (true) statement from number theory:

\"n is a prime number implies that n=2 or n is an odd number.\"

Your answer must contain a conjunction in its premise.

Solution

The negation of \"n is a number is number\" is \"n is not a prime number\".

The negation of \"n=2 or n is an odd number\" is \"n not equal to 2 or n is not an odd number\".

So using if...then conjuction we can write the contrapositive of the statement as

\"If n not equal to 2 or n is not an odd number, then n is not a prime number.\"