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?

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
  • negative numbers
  • negative
  • flip inequality

Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

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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!

  • Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Further Exploration

  • Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.

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

      How Do You Use Multiplication 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.

      • 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