How Do You Solve an AND Compound Inequality?

How Do You Solve an AND Compound Inequality?

Note:

Trying to solve a compound inequality? No problem! This tutorial will take you through the process of splitting the compound inequality into two inequalities. Then you'll see how to solve those inequalities and write the answer in set builder notation.

Keywords:

  • problem
  • inequality
  • solve
  • compound
  • compound inequality
  • positive
  • solve by addition
  • solve by division
  • addition
  • division
  • division property of inequality
  • addition property of inequality
  • 1 variable
  • set builder notation
  • two operations

Background Tutorials

  • Evaluating 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!

  • Dividing Integers

      • How Do You Do Long Division?How Do You Do Long Division?

      How Do You Do Long Division?

      We know that calculators are everywhere, but that doesn't mean that long division isn't important! Sometimes you won't be allowed to use a calculator, and when those times occur, you'll be thankful that you watched this video!

  • 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

      • 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!

  • Solving Inequalities by Adding

      • What's the Addition Property of Inequality?What's the Addition Property of Inequality?

      What's the Addition Property of Inequality?

      Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the addition property of inequality, and it basically says that if you add a number from one side of an inequality, you have to add that same number from the other side of the inequality as well. Watch the tutorial to see how this looks in terms of algebra!

  • Solving Inequalities by Dividing

      • How Do You Solve an Inequality by Dividing by a Positive Number?How Do You Solve an Inequality by Dividing by a Positive Number?

      How Do You Solve an Inequality by Dividing by a Positive Number?

      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.

      • What's the Division Property of Inequality?What's the Division Property of Inequality?

      What's the Division Property of Inequality?

      Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the division property of inequality, and it basically says that if you divide one side of an inequality by a number, you can divide the other side of the inequality by the same number. However, you have to be very careful about the direction of the inequality! Watch the tutorial to see how this looks in terms of algebra!