Chapter 2.1, Problem 13CE

To determine

To state:The converse of each statement and state whether it is true or false

Answer to Problem 13CE

The statement is true.

The converse of the given statement is false.

Explanation of Solution

Given information:

The given statement is:

If today is Friday, then tomorrow is Saturday

"If $x>0,$ then $x^2>0"$

The square of a positive term is positive.

Therefore, the statement is true.

Consider $p$ is $x>0,$ and $q$ is $x^2>0"$

The converse is of the form "if $q$ ,then $p^{″}$

Therefore, the converse of the given statement is;

"If $x>0,$ then $x^2>0"$

If $x^2>0$ then x may be positive or negative

That is may be $x<0$

Therefore, the converse of the given statement is false.