# 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 92E
To determine

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

Expert Solution

|x2|4 .

### Explanation of Solution

Given:

The given phrase is “All real number xat most 4 units from 2”.

Concept used:

Convert the phrase involving an absolute value into inequality.

Calculation:

According to the question, the real number xat most4 units from 2.

Therefore,

|x2|{real numberx from 2}|x2|4{real numberxat least 4} .

Hence,the inequality is |x2|4 .

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