Chapter 11, Problem 2CUR

To determine

To state: The statement is true / false.

Answer to Problem 2CUR

True

Explanation of Solution

Given:

A true conditional.

A conditional statement is a statement of the type “if $p$ then $q$ ”.

Converse of the statement means “if $q$ then $p$ ”.

For example, let the true conditional statement be:

“If all the sides of a triangle are equal then the triangle is known as an equilateral triangle.”

Converse is:

“If the triangle is an equilateral triangle, then all the sides of the triangle are equal.”

It is also true.

Converse of a true conditional is always true, therefore the statement is true.