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Chapter 1: Q25. (page 44)

Write an absolute value inequality for each graph

Short Answer

Expert verified

Absolute value inequality is x+1>1

Step by step solution

01

- Definition of absolute value inequality

For real numbers aandbwith b>0

Absolute value inequality is a<bwhen -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 or greater than 0

03

- Write absolute value inequality

Let the real number be x

As x<-2orx>0

Since, adding same number on both sides does not change the sign of inequality

Add 1 on both sides

x+1<鈭�2+1orx+1>0+1x+1<鈭�1orx+1>1

So from definition, absolute value inequality is

x+1>1

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