What is the converse of the following statement? If a number is odd, it is not divisible by two.

Select the best answer from the choices provided.

A. If a number is not odd, then it is divisible by two.

B. If a number is divisible by two, then it is not an odd number.

C. A number is not divisible by two if it is an odd number.

D. If a number is not divisible by two, then it is an odd number.

Question

Casey Rivers

Mathematics

19 May, 19:47

What is the converse of the following statement? If a number is odd, it is not divisible by two.

Select the best answer from the choices provided.

A. If a number is not odd, then it is divisible by two.

B. If a number is divisible by two, then it is not an odd number.

C. A number is not divisible by two if it is an odd number.

D. If a number is not divisible by two, then it is an odd number.

+2

Answers (1)

Know the Answer?

Erick Larson · Answer 1

Converse in discrete mathematics is switching the hypothesis and conclusion of a conditional statement.

So the correct answer will be that If a number is not divisible by two, then it is an odd number. Which is option D.

The math converse of a statement switches the if and then, resulting in a statement that may or may not be true so we have no guarantee that the preposition is true or not.