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

  • Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

      • 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 :)

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • 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!

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

      • 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

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

      • How Do You Solve an Inequality Using Addition?How Do You Solve an Inequality Using Addition?

      How Do You Solve an Inequality Using Addition?

      Solving an inequality for a variable? Just perform the order of operations in reverse! Always make sure to follow the rules for solving an inequality!

      • 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.

      • 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.