How Do You Solve an Inequality with Negative Numbers Using Division?

How Do You Solve an Inequality with Negative Numbers Using Division?

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
  • set builder notation
  • solve by division
  • 1 step problem
  • single step
  • flip inequality

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.

  • Solving Inequalities by Dividing

      • 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!

Further Exploration