Chapter SR28, Problem 5P

Solution

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

True.

Given:

x = 5 when 4x+8 = 28

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 - x = 5 when 4x+8 = 28

If-then form: If 4x+8 = 28 then x = 5.

Converse: If x = 5 then 4x+8 = 28.

True.