# 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 40E
To determine

## To solve: The inequality.

Expert Solution

The interval notation for the given inequality is (45,85).

### Explanation of Solution

Given:

The inequality is |x|<3.

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,

|5x2|<66<5x2<66+2<5x<6+24<5x<8

Simplifying further,

45<x<85

Since x lies between 45 and 85, the corresponding interval notation is (45,85).

Thus, the interval notation for the given inequality is (45,85).

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