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

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
solve by division
division
division property of inequality
single variable
1 variable
1 step
single step

Background Tutorials

Introduction to Algebraic Expressions
- 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!
Inequalities and Comparing Real Numbers
- 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 :)
- 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 Using Division
- 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!