Chapter 2: Q. 471 (page 208)

Solve Absolute Value Inequalities with “greater than” In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|x| \geq 5$

Short Answer

Expert verified

The solution of the inequality is

$[- \infty, - 5] \cup [5, \infty]$

The graph of the inequality can be given as

Step by step solution

Given information

We are given an inequality $|x| \geq 5$

Step 2:Write the equivalent compound inequality

$x \leq - 5$ and $x \geq 5$

The solution of the inequality is

$[- \infty, - 5] \cup [5, \infty]$

The graph of the inequality can be given as

Conclusion

The solution of the inequality is $[- \infty, - 5] \cup [5, \infty]$

The graph of the inequality is

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Solve Absolute Value Inequalities with “greater than” In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|x| \geq 5$

Short Answer

Step by step solution

Given information

Step 2:Write the equivalent compound inequality

The solution of the inequality is

The graph of the inequality can be given as

Conclusion

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Solve Absolute Value Inequalities with “greater than” In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.x≥5

Short Answer

Step by step solution

Given information

Step 2:Write the equivalent compound inequality

The solution of the inequality is

The graph of the inequality can be given as

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Pure Maths

Geometry

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve Absolute Value Inequalities with “greater than” In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|x| \geq 5$