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

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

Note:

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.

Keywords:

  • problem
  • inequality
  • solve
  • like terms
  • variables on both sides
  • flip inequality
  • negative
  • solve by division
  • solve by addition
  • division property of inequality
  • addition property of inequality
  • flip inequality
  • flip
  • 1 variable
  • set builder notation
  • two operations

Background Tutorials

  • 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!

  • Equations to Inequalities

      • 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 Two-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.

  • Factoring Algebraic Expressions

      • What are Like Terms?What are Like Terms?

      What are Like Terms?

      Combining like terms together is a key part of simplifying mathematical expressions, so check out this tutorial to see how you can easily pick out like terms from an expression

Further Exploration

  • Writing and Solving Equations with Variables on Both Sides

  • Writing and Solving Inequalities with Variables on Both Sides

      • How Do You Solve a Word Problem Using an Inequality With Variables on Both Sides?How Do You Solve a Word Problem Using an Inequality With Variables on Both Sides?

      How Do You Solve a Word Problem Using an Inequality With Variables on Both Sides?

      This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing 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.