Chapter SR28, Problem 6P

Solution

Rewrite the conditional statement in if-then form. Then write its converse and tell whether the converse is true or false.

False.

Given:

The sum of two even numbers is an even number.

Concept used:

• A conditional statement has two parts, a hypothesis and a conclusion. When a conditional statement is written in if-then form, the “if” parts contains the hypothesis and the “then” part contains the conclusion.
• The converse of a conditional statement is formed by switching the hypothesis and the conclusion.

Calculation:

Given - The sum of two even numbers is an even number.

If-then form: If the sum of two even numbers is even then it is an even number.

Converse: If it is an even number then it is the sum of two even numbers.

False.