Chapter 2.6, Problem 4OE

(a)

To determine

The hypothesis and the conclusion

Explanation of Solution

Given:

The given terms are:

  $y^2>0\text{ if }y>0$

Calculation:

The solution for the given statement can be obtained by:

Hypothesis:

  $y^2>0$

Conclusion:

  $y>0$

(b)

To determine

The converse of the given statement.

Explanation of Solution

Given:

The given terms are:

  $y^2>0\text{ if }y>0$

Calculation:

The solution for the given statement can be obtained by:

Converse:

  $y>0\text{ if }{y}^2>0$

(c)

To determine

The converse of the given statement is true or false.

Explanation of Solution

Given:

The given terms are:

  $y^2>0\text{ if }y>0$

Calculation:

The solution for the given statement:

The converse is true.