# Absolute Value Inequalities Worksheets

What Are Absolute Value Inequalities? An absolute value inequality has a complete value sign with a variable inside. Absolute Value Equations represent the detachment between x and 0, which is less than the number 2, whereas inequality represents the distance between x and 0, which is higher than the number 2. You can also write an absolute value inequality as a compound inequality. While solving an absolute value inequality, it is necessary to first separate the total value expression from one side of inequality before addressing the inequality. If the number is negative on the other side of the inequality, your equation then either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to help know which of these cases holds. If your problem has a more significant sign, it means that the question says that an absolute value is higher than a number, then set up an "or" compound inequality. (quantity inside absolute value) < (number on other side) OR (quantity inside absolute value) > (number on other side). The same setup is used for a ≥ sign.

• ### Basic Lesson

Guides students solving equations that involve an absolute value inequalities. Demonstrates answer checking.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems.

• ### Independent Practice 1

Solve the following problems dealing with absolute value inequalities. Since the symbol is > ; two cases are formed connected by word "or" .

• ### Independent Practice 2

Students find the Absolute Value Inequalities in assorted problems. The answers can be found below. Rewriting gives: |5x+3|>-9; which is ALWAYS true. All real numbers are greater than any negative number.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Absolute Value Inequalities.

• ### Skill Quiz

This tests the students ability to evaluate Absolute Value Inequalities.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Answer Key

Answers for the lesson and practice sheets.

• ### Basic Lesson

Guides students solving equations that involve an absolute value inequalities. Demonstrates answer checking.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Absolute Value Inequalities.

• ### Independent Practice 2

Students find the Absolute Value Inequalities in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Absolute Value Inequalities.

• ### Skill Quiz

This tests the students ability to evaluate Absolute Value Inequalities.

• ### Homework and Quiz Answer Key

Answers for math worksheets, quiz, homework, and lessons.

#### National π Day

Do you know when national "pi" day is celebrated in the United States?
On March 14 (3/14), at exactly 1:59 pm. Get it?
PI = 3.14159 ...