How Do You Use Division with Negative Numbers to Solve an Inequality Word Problem?

How Do You Use Division with Negative Numbers to Solve an Inequality Word Problem?

Note:

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.

Keywords:

  • problem
  • word problem
  • word
  • translate words to algebra
  • inequality
  • solve
  • solve by division
  • division
  • division property of inequality
  • single variable
  • 1 variable
  • 1 step
  • single step
  • negative numbers
  • negative
  • flip inequality

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!

  • Dividing Integers

      • How Do You Figure Out the Sign of a Product or Quotient?How Do You Figure Out the Sign of a Product or Quotient?

      How Do You Figure Out the Sign of a Product or Quotient?

      Multiplying and dividing numbers takes a good amount of thinking, and it's easy to make a mistake. But you can make sure that you're on the right track if you check whether the answer should be positive or negative. In this tutorial you'll see exactly how to tell if your answer will be positive or negative, even if you don't know the exact value of the answer. That way you'll always be able to check your answers!

  • Translating Between Words and Math

      • How Do You Write an Equation from a Word Problem?How Do You Write an Equation from a Word Problem?

      How Do You Write an Equation from a Word Problem?

      Having difficulty turning a word problem into an algebra equation? Then this tutorial is for you! With this tutorial, you'll learn how to break down word problems and translate them into mathematical equations.

  • 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

  • Solving Multi-Step Inequalities

      • How Do You Solve a Word Problem Using a Multi-Step Inequality?How Do You Solve a Word Problem Using a Multi-Step Inequality?

      How Do You Solve a Word Problem Using a Multi-Step Inequality?

      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.

  • Solving Inequalities by Multiplying

      • How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?

      How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?

      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.

  • Solving Inequalities by Dividing

      • How Do You Use Division with Positive Numbers to Solve an Inequality Word Problem?How Do You Use Division with Positive Numbers to Solve an Inequality Word Problem?

      How Do You Use Division with Positive Numbers to Solve an Inequality Word Problem?

      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.