How Do You Figure Out if an Absolute Value Inequality is an AND or OR Compound Inequality?

How Do You Figure Out if an Absolute Value Inequality is an AND or OR Compound Inequality?

Note:

When does an absolute value inequality represent an AND compound inequality? When does it represent an OR compound inequality? This tutorial will give you the answer and show you using examples on a number line!

Keywords:

problem

inequality

absolute value

absolute value inequality

and

or

number line

graph

compound inequality

Background Tutorials

Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

Wondering what a compound inequality is? Then check out this tutorial! You'll learn the definition for a compound inequality and also see how it can be written in set builder notation. Take a look!

Further Exploration

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Trying to solve an absolute value inequality? No sweat! This tutorial will take you through the process of solving the inequality. Then you'll see how to write the answer in set builder notation and graph it on a number line. You'll see it all in this tutorial!

Converting an absolute value inequality to a compound inequality can be tricky. Luckily, this tutorial takes you through the process step-by-step. Take a look! You'll be glad you did.