# 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 39E
To determine

## To solve: The inequality.

Expert Solution

The interval notation for the given inequality is [1.3,1.7].

### Explanation of Solution

Given:

The inequality is |2x3|0.4.

Property used:

|x|<a if and only if a<x<a.

Calculation:

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

|2x3|0.40.42x30.40.4+32x0.4+32.62x3.4

Further simplification, the equation becomes,

1.3x1.7

The corresponding interval notation is [1.3,1.7].

Thus, the interval notation for the given inequality is [1.3,1.7].

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