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

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

Note:

Trying to solve a compound 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
  • inequality
  • compound inequality
  • solve
  • set builder notation
  • graph
  • number line
  • graph on number line

Background Tutorials

  • Evaluating Expressions

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      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!

  • Solving Multi-Step Inequalities

      • 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.

  • Compound Inequalities

      • How Do You Graph the Intersection of Two Inequalities?How Do You Graph the Intersection of Two Inequalities?

      How Do You Graph the Intersection of Two Inequalities?

      Number lines help make graphing the intersection of two inequalities a breeze! This tutorial shows you how to graph two inequalities on the same number line and then find the intersection. Take a look!

      • What's a Compound Inequality?What's a Compound Inequality?

      What's a Compound Inequality?

      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!

  • Graphs of Inequalities

  • Solving Inequalities by Dividing

      • 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.

Further Exploration