Chapter 1: Q4. (page 43)

Write an absolute value inequality for each of the following. Then graph the solution set on a number line.
All numbers are between -8 and 8.

Short Answer

Expert verified

The absolute value inequality for all numbers between -8 and 8 is $|x| < 8$

Step by step solution

-Write the inequalities

Let the numbers are denoted by $x$ between -8 and 8.

The inequalities for the numbers between -8 and 8 are as follows:

$x > - 8$

and

$x < 8$

Therefore, the compound inequality will be $- 8 < x < 8$ .

– The absolute value inequality

The absolute inequality is defined as $|x| < a$ for $- a < x < a$ .

Therefore, the absolute value inequality for the numbers between -8 and 8 is as follows:

$x > - 8$

and

$x < 8$

$| x | < 8$

– Graph of the solution set

The graph for the absolute inequality $|x| < 8$ is as shown below

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Write an absolute value inequality for each of the following. Then graph the solution set on a number line.
All numbers are between -8 and 8.

Short Answer

Step by step solution

-Write the inequalities

– The absolute value inequality

– Graph of the solution set

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Write an absolute value inequality for each of the following. Then graph the solution set on a number line.All numbers are between -8 and 8.

Short Answer

Step by step solution

-Write the inequalities

– The absolute value inequality

– Graph of the solution set

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Probability and Statistics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Write an absolute value inequality for each of the following. Then graph the solution set on a number line.
All numbers are between -8 and 8.