Chapter 1: Q33. (page 44)

Solve each inequality. Graph the solution set on a number line.
33. $|g| \leq 9$

Short Answer

Expert verified

Solution of inequality is $- 9 \leq g \leq 9$

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 $a < - b or a > b$

- Simplify g≤9

From definition of absolute value inequality, given expression is simplified to

$- 9 \leq g \leq 9$

- Graph the solution set

For $g \geq - 9 and g \leq 9$ , number line starts from $- 9$ to 9

Dot on $- 9 and 9$ shows these points are included in the solution.

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Solve each inequality. Graph the solution set on a number line.
33. $|g| \leq 9$

Short Answer

Step by step solution

- Definition of absolute value inequality

- Simplify g≤9

- Graph the solution set

One App. One Place for Learning.

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Solve each inequality. Graph the solution set on a number line.33. g≤9

Short Answer

Step by step solution

- Definition of absolute value inequality

- Simplify g≤9

- Graph the solution set

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Pure Maths

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Solve each inequality. Graph the solution set on a number line.
33. $|g| \leq 9$