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Chapter 1: Q9. (page 44)

Solve each inequality. Graph the solution set on a number line.

3<d+5<8.

Short Answer

Expert verified

The solution of inequalities is -2<d<3.

Step by step solution

01

-Write the inequality and define compound inequality 

The inequality for the numbers is 3<d+5<8.

A compound inequality containing the word 鈥榓nd鈥� is true if and only if both of the inequalities are true.

02

– Apply the definition of a compound inequality

Write the compound inequality as follows:

3<d+5<83鈭�5<d+5鈭�5<8鈭�5鈭�2<d<3

Therefore, the solution of each inequality is -2<dand d<3.

03

– Graph of the solution set 

The graph for the inequality -2<d<3 is as shown below

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