# To express: the given phrase as an inequality involving an absolute value. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.7, Problem 89E
To determine

## To express: the given phrase as an inequality involving an absolute value.

Expert Solution

|x|<3 .

### Explanation of Solution

Given:

The given phrase is “All real number x less than 3 units from 0”.

Concept used:

Convert the phrase involving an absolute value into inequality.

Calculation:

According to the question, the real number x less than 3 units from 0.

Therefore,

|x0|<3|x|<3 .

Hence,the inequality is |x|<3 .

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