# the absolute value inequality. Express the solution using interval notation and graph the solution set.

BuyFind

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.7, Problem 77E
To determine

Expert Solution

## Answer to Problem 77E

x[2,8] .

### Explanation of Solution

Given:

The given inequality is |x5|3 .

Concept used:

Properties of absolute value inequalities:

 Inequality Equivalent form Graph |x|c x<−c or c

Calculation:

The given inequalityis |x5|3 .

According to the properties of absolute value inequalities, the given inequality is expressed as

3x53{add 5 on both the sides}2x8i.ex[2,8] .

Hence,the solution set is x[2,8] .

The solution set of the inequality graphed on the number line.

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