Chapter 1: Q13. (page 44)

Solve each inequality. Graph the solution set on a number line.
$|w| \geq - 2$ .

Short Answer

Expert verified

The solution of the given inequality is $w > - 2 o r w < 2$ .

Step by step solution

-Define absolute inequality and write the inequality

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 $|w| \geq - 2$ .

– 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:

$\begin{array}{l} | w | \geq - 2 \\ w > - 2 o r w < - (- 2) \\ w > - 2 o r w < 2 \end{array}$

– Graph of the solution set

The graph for the inequalities $w > - 2 o r w < 2$ is as shown below

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Solve each inequality. Graph the solution set on a number line.
$|w| \geq - 2$ .

Short Answer

Step by step solution

-Define absolute inequality and write the inequality

– 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.w≥-2.

Short Answer

Step by step solution

-Define absolute inequality and write the inequality

– 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

Mechanics Maths

Decision Maths

Probability and Statistics

Theoretical and Mathematical Physics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Solve each inequality. Graph the solution set on a number line.
$|w| \geq - 2$ .