Chapter 2: Q. 475 (page 208)

Solve Absolute Value Inequalities with “greater than" In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|2 x - 1| > 5$

Short Answer

Expert verified

The solution of the inequality is $(- \infty, - 2) \cup (3, \infty)$

The graph of the inequality can be given as

Step by step solution

Given information

We are given an inequality $|2 x - 1| > 5$

Write the equivalent compound inequality

$2 x - 1 < - 5$ and $2 x - 1 > 5$

We solve the inequality

$x < - 2$ and $x > 3$

The solution of the inequality is

$(- \infty, - 2) \cup (3, \infty)$

The graph of the inequality can be given as

Conclusion

The solution of the inequality is $(- \infty, - 2) \cup (3, \infty)$

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" In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|2 x - 1| > 5$

Short Answer

Step by step solution

Given information

Write the equivalent compound inequality

We solve the inequality

The solution of the inequality is

The graph of the inequality can be given as

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Logic and Functions

Probability and Statistics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Solve Absolute Value Inequalities with “greater than" In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.2x-1>5

Short Answer

Step by step solution

Given information

Write the equivalent compound inequality

We solve the inequality

The solution of the inequality is

The graph of the inequality can be given as

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Logic and Functions

Probability and Statistics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Solve Absolute Value Inequalities with “greater than" In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|2 x - 1| > 5$