Chapter 1: Q17. (page 44)

Write an absolute value inequality for each of the following. Then graph the solution set on a number line.
All numbers between $- 4$ and 4

Short Answer

Expert verified

Absolute value inequality is $|x| < 4$

Solution set in number line is

Step by step solution

- Definition of absolute value inequality

For real numbers $a and b$ with b>0

Absolute value inequality is $|a| < b$ when $- b < a and a < b$ , and

Absolute value inequality is $|a| > b$ when $a < - b or a > b$

- Write an absolute value inequality

Let the real number be x

As $- 4 < x < 4$ which means $- 4 < x and x < 4$ so from definition, absolute value inequality is

$|x| < 4$

- Graph the solution set

For $- 4 < x and 4 < x$ , number line starts from -4 to 4

Open circle on $- 4 and 4$ shows these points are not included in the solution.

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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 between $- 4$ and 4

Short Answer

Step by step solution

- Definition of absolute value inequality

- Write an absolute value inequality

- Graph 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 between -4and 4

Short Answer

Step by step solution

- Definition of absolute value inequality

- Write an absolute value inequality

- Graph the solution set

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Discrete Mathematics

Statistics

Theoretical and Mathematical Physics

Pure 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 between $- 4$ and 4