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Chapter 2: Q. 468 (page 208)

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.

x>3

Short Answer

Expert verified

The solution of the inequality is (-鈭�,-3)鈭�(3,鈭�)

The graph of the inequality can be given as

Step by step solution

01

Given information

We are given an inequalityx>3

02

Write the equivalent compound inequality.

-x>3andx<3

03

The solution of the inequality is

(-鈭�,-3)鈭�(3,鈭�)

04

Step 4:

Now we plot the graph of the inequality

05

Conclusion

The solution of the inequality is-鈭�,-3鈭�(3,鈭�)

The graph of the inequality is

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