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Chapter 1: Q17. (page 44)

Write an absolute value inequality for each of the following. Then graph the solution set on a number line.

All numbers between -4and 4

Short Answer

Expert verified

Absolute value inequality is x<4

Solution set in number line is

Step by step solution

01

- Definition of absolute value inequality

For real numbers aandbwith b>0

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

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

02

- Write an absolute value inequality

Let the real number be x

As -4<x<4 which means -4<xandx<4 so from definition, absolute value inequality is

x<4

03

- Graph the solution set

For -4<xand4<x, number line starts from -4 to 4

Open circle on -4and4 shows these points are not included in the solution.

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