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Chapter 1: Q33. (page 44)

Solve each inequality. Graph the solution set on a number line.

33. g鈮�9

Short Answer

Expert verified

Solution of inequality is -9鈮�g鈮�9

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

- Simplify g≤9

From definition of absolute value inequality, given expression is simplified to

-9鈮�g鈮�9

03

- Graph the solution set

For g鈮�-9andg鈮�9, number line starts from -9 to 9

Dot on -9and9 shows these points are included in the solution.

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