How Do You Solve an AND Absolute Value Inequality and Graph It On a Number Line?

How Do You Solve an AND Absolute Value Inequality and Graph It On a Number Line?

Note:

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!

Keywords:

  • problem
  • absolute value
  • compound
  • compound inequality
  • set builder notation
  • graph
  • number line
  • graph on number line
  • solve
  • absolute value inequality

Background Tutorials

  • Introduction to Algebraic Expressions

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Inequalities and Comparing Real Numbers

      • What's an Inequality?What's an Inequality?

      What's an Inequality?

      Inequalities come up all the time when you're working algebra problems. In this tutorial you'll learn what an inequality is, and you'll see all the common inequality symbols that you're likely to see :)

      • How Do You Graph an Inequality or an Infinite Set on a Number Line?How Do You Graph an Inequality or an Infinite Set on a Number Line?

      How Do You Graph an Inequality or an Infinite Set on a Number Line?

      Number lines are really useful in visualizing an inequality or a set. In this tutorial, you'll see how to graph both. Take a look!

      • How Do You Write Inequalities in Set Builder Notation?How Do You Write Inequalities in Set Builder Notation?

      How Do You Write Inequalities in Set Builder Notation?

      Need some extra practice converting solution phrases into set builder notation? This tutorial was made for you! Follow along as this tutorial shows you how to dissect each phrase and turn it into a solution in set builder notation.

  • Real Number Properties

      • What Does Absolute Value Mean?What Does Absolute Value Mean?

      What Does Absolute Value Mean?

      In this tutorial you'll see how you can think of absolute value in a very intuitive way. Let us know if you have any questions about it!

  • Solving Inequalities Using Division

      • How Do You Solve an Inequality with Negative Numbers Using Division?How Do You Solve an Inequality with Negative Numbers Using Division?

      How Do You Solve an Inequality with Negative Numbers Using Division?

      Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

  • Solving Multi-Step Inequalities

      • How Do You Solve and Graph a Two-Step Inequality?How Do You Solve and Graph a Two-Step Inequality?

      How Do You Solve and Graph a Two-Step Inequality?

      Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

  • Solving and Graphing 'AND' Compound Inequalities

  • Writing Absolute Value Inequalities

Further Exploration

  • Solving Inequalities Using Addition

  • Solving Inequalities Using Subtraction

  • Solving Absolute Value Inequalities