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Solve Absolute Value Inequalities with 鈥済reater than鈥 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.

3x-2>4

Short Answer

Expert verified

The solution of the inequality is -,-232,

The graph of the inequality can be given as

Step by step solution

01

Given information

We are given an inequality3x-2>4

02

Write the equivalent compound inequality

3x-2<-4and3x-2>4

03

Solve the inequality

x<-23andx>2

04

The solution of the inequality is 

-,-232,

05

We graph the inequality

06

Conclusion

The solution of the inequality is-,-232,

The graph of the inequality is

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