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Chapter 1: Q15. (page 44)

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

All numbers greater than or equal to 5 or less than or equal to -5

Short Answer

Expert verified

Absolute value inequality is x鈮�5

Solution set in number line is

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

- Write an absolute value inequality

Let the real number be x

As x鈮�5orx鈮�-5 so from definition, absolute value inequality is

x鈮�5

03

- Graph the solution set

For x鈮�5orx鈮�-5, number line starts from 5 to 鈭� and from -5 to -鈭�

Dot on 5and-5 shows these points are included in the solution.

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