# The inequality .

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter A, Problem 34E
To determine

## To solve: The inequality.

Expert Solution

The interval notation for the given inequality is (,3][3,).

### Explanation of Solution

Given:

The inequality is |x|3.

Property used:

If |x|=a if and only if x=±a

If |x|>a if and only if x>a and x<a

Calculation:

By the property mentioned above, the given function can be re written as,

|x|3x3 or x3

The corresponding interval notation is (,3][3,).

Thus, the interval notation for the given inequality is (,3][3,).

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