# 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 36E
To determine

## To solve: The inequality.

Expert Solution

The interval notation for the given inequality is (5.9,6.1).

### Explanation of Solution

Given:

The inequality is |x6|<0.1.

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,

|x6|<0.10.1<x6<0.10.1+6<x<0.1+65.9<x<6.1

Since x lies between 5.9 and 6.1, the corresponding interval notation is (5.9,6.1).

Thus, the interval notation for the given inequality is (5.9,6.1).

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