Chapter 1: Q10. (page 44)

Solve each inequality. Graph the solution set on a number line.
$|a| \geq 5$ .

Short Answer

Expert verified

The solution of inequalities is $a > 5 o r a < - 5$ .

Step by step solution

Step 1-Write the inequalities

A For all real numbers a, b and $b > 0$ ; it is true that if $|a| \geq b$ then $a > b$ or $a < - b$ . The inequality is $|a| \geq 5$ .

– Apply the definition of an absolute compound inequality

Use the definition of absolute value inequality and write the compound inequality with word or as follows:

$\begin{array}{l} | a | \geq 5 \\ a > 5 o r a < - 5 \end{array}$

– Graph of the solution set

The graph for the inequalities $a > 5 o r a < - 5$ is as shown below

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Solve each inequality. Graph the solution set on a number line.
$|a| \geq 5$ .

Short Answer

Step by step solution

Step 1-Write the inequalities

– Apply the definition of an absolute compound inequality

– Graph of the solution set

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Solve each inequality. Graph the solution set on a number line.a≥5.

Short Answer

Step by step solution

Step 1-Write the inequalities

– Apply the definition of an absolute compound inequality

– Graph of the solution set

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

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Probability and Statistics

Geometry

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Study anywhere. Anytime. Across all devices.

Solve each inequality. Graph the solution set on a number line.
$|a| \geq 5$ .