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Chapter 4: Q55. (page 181)

Write an absolute value inequality for each graph

55.

Short Answer

Expert verified

Absolute value inequality is x<2.8

Step by step solution

01

- Definition of absolute value inequality

For real numbers aandb with b>0

Absolute value inequality is a<b when -b<aanda<b, and

Absolute value inequality is a>b when a<-bora>b

02

- Observation from image

From image, solution is all real less than 2.8 and greater than -2.8

03

- Write absolute value inequality

Let the real number bex

As x>-2.8andx<2.8 so from definition, absolute value inequality is

x<2.8

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