How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Negative Fractions?

How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Negative Fractions?

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 multiplication
  • multiplication
  • multiplication property of inequality
  • single variable
  • 1 variable
  • 1 step
  • single step
  • fraction
  • reciprocal rule
  • reciprocal
  • negative numbers
  • negative
  • flip inequality
  • flip

Background Tutorials

  • Dividing Fractions

      • What's a Reciprocal?What's a Reciprocal?

      What's a Reciprocal?

      Reciprocals are important when it comes to dividing fractions, finding perpendicular lines, dealing with inverse proportions, and so much more! In this tutorial you can review the basics about reciprocals.

  • 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!

  • Working with Integers

      • 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 Inequalities by Multiplying

      • What's the Multiplication Property of Inequality?What's the Multiplication Property of Inequality?

      What's the Multiplication 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 multiplication property of inequality, and it basically says that if you multiply one side of an inequality by a number, you can multiply 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 Inequalities with Fractions

      • How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Positive Fractions?How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Positive Fractions?

      How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Positive Fractions?

      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 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.