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Chapter 2: Q.460 (page 208)

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

3x-3鈮�6

Short Answer

Expert verified

Solution of the inequality is -1鈮�x鈮�3.

The graph of the inequality can be given as

Step by step solution

01

Given information

The given Inequality is3x-3鈮�6

02

Concept usedIsolate the absolute value expression.

-6鈮�3x-3鈮�6

03

Concept usedWrite the equivalent compound inequality.

-3鈮�3x鈮�9

04

concept used Solve the compound inequality by dividing each term by 3

-1鈮�x鈮�3

05

Now we plot the graph of this inequality

06

Conclusion

The solution of the inequality is-1鈮�x鈮�3

The graph of the inequality can be given as

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