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Chapter 1: Q6. (page 43)

Write an absolute value inequality for each graph
6.

Short Answer

Expert verified

Absolute value inequality is $|x| 鈮� 4$

Step by step solution

01

- Definition of absolute value inequality

For real numbers $a and b$ with $b > 0$

Absolute value inequality is $|a| < b$ when $- b < a and a < b$ , and

Absolute value inequality is $|a| > b$ when $a < - b or a > b$

02

- Observation from image

From image, solution is all real less than or equal to $- 4$ or greater than or equal to 4

03

- Write absolute value inequality

Let the real number be $x$

As $x 鈮� - 4 or x 鈮� 4$ so from definition, absolute value inequality is $|x| 鈮� 4$

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