If two numbers are even, their sum is even.

Which of these is a logically equivalent statement?

Answer

If the sum of two numbers is not even, the numbers are not even.

If the sum of two numbers is not even, the numbers are even.

If two numbers are not even, their sum is not even.

If two numbers are not even, their sum is even.

Question

Greta Cox

Mathematics

6 March, 18:05

If two numbers are even, their sum is even.

Which of these is a logically equivalent statement?

Answer

If the sum of two numbers is not even, the numbers are not even.

If the sum of two numbers is not even, the numbers are even.

If two numbers are not even, their sum is not even.

If two numbers are not even, their sum is even.

+2

Answers (1)

Know the Answer?

Callie · Answer 1

I think the correct answer from the choices listed above is the third option. The logical equivalent statement of the given would be that i f two numbers are not even, their sum is not even. It basically states the opposite of the given statement but still displays the same idea. Hope this answers the question. Have a nice day.