# 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 81E
To determine

Expert Solution

## Answer to Problem 81E

x(,1][73,) .

### Explanation of Solution

Given:

The given inequality is |3x2|5 .

Concept used:

Properties of absolute value inequalities:

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

Calculation:

According to the properties of absolute value inequalities, thegiven inequalityis expressed as

|3x2|53x25or3x25{add 2fromboththesides}3x7or3x3{divide 3fromboththesides}x73orx1i.ex(,1][73,)

Hence,the solution set is x(,1][73,) .

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

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