How Do You Solve an Inequality Using Subtraction?

How Do You Solve an Inequality Using Subtraction?

Note:

Solving an inequality for a variable? Just perform the order of operations in reverse! Always make sure to follow the rules for solving an inequality!

Keywords:

  • problem
  • inequality
  • solve
  • solve by subtraction
  • subtraction
  • subtraction property of inequality
  • single variable
  • 1 variable
  • 1 step
  • single step

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).

      • 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!

  • Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

      • 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.

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

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

      What's the Subtraction 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 subtraction property of inequality, and it basically says that if you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well. Watch the tutorial to see how this looks in terms of algebra!

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 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.