Chapter 2: 473 (page 208)

Solve Absolute Value Inequalities with “greater than”
$|x - 5| > - 2$

Short Answer

Expert verified

The solution of the inequality is $(- \infty, \infty)$

Step by step solution

Given information

We are given a inequality $|x - 5| > - 2$

We write the equivalent compound inequality

$x - 5 < 2$ and $x - 5 > - 2$

Solve the inequality

$x < 7$ and $x > 3$

The solution of the inequality is

$(- \infty, \infty)$

We plot the graph of the inequality

Conclusion

The solution of the inequality is $(- \infty, \infty)$

The graph of the inequality is

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve Absolute Value Inequalities with “greater than”
$|x - 5| > - 2$

Short Answer

Step by step solution

Given information

We write the equivalent compound inequality

Solve the inequality

The solution of the inequality is

We plot the graph of the inequality

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

Logic and Functions

Geometry

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Solve Absolute Value Inequalities with “greater than”x-5>-2

Short Answer

Step by step solution

Given information

We write the equivalent compound inequality

Solve the inequality

The solution of the inequality is

We plot the graph of the inequality

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

Logic and Functions

Geometry

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Solve Absolute Value Inequalities with “greater than”
$|x - 5| > - 2$