What's the Addition Property of Inequality?

What's the Addition Property of Inequality?

Note:

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!

Keywords:

  • definition
  • addition property of inequality
  • inequality
  • add to both sides
  • addition
  • inequality direction
  • direction

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!

  • Working with Integers

      • 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 :)

  • Solving Inequalities by Subtracting

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

      What's the Subtraction 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 subtraction property of inequality, and it basically says that if you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well. Watch the tutorial to see how this looks in terms of algebra!

Further Exploration

  • Compound Inequalities

      • How Do You Solve an AND Compound Inequality?How Do You Solve an AND Compound Inequality?

      How Do You Solve an AND Compound Inequality?

      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.

  • Solving Inequalities by Adding

  • Solving Multi-Step Inequalities

      • How Do You Solve an Inequality With Variables on Both Sides?How Do You Solve an Inequality With Variables on Both Sides?

      How Do You Solve an Inequality With Variables on Both Sides?

      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.