How Do You Solve a System of Inequalities by Graphing?

How Do You Solve a System of Inequalities by Graphing?

Note:

There are many different ways to solve a system of inequalities. In this tutorial, you'll see how to solve such a system by graphing both inequalities and finding their intersection. Check it out!

Keywords:

  • problem
  • inequality
  • line
  • linear inequality
  • border
  • shading
  • graphical
  • graph
  • system of inequalities
  • 2 inequalities
  • region
  • overlap
  • independent
  • consistent
  • half plane
  • 2 equations
  • 2 unknowns
  • 2 variables

Background Tutorials

  • Graphing Linear Inequalities

      • How Do You Graph a Greater Than Inequality on the Coordinate Plane?How Do You Graph a Greater Than Inequality on the Coordinate Plane?

      How Do You Graph a Greater Than Inequality on the Coordinate Plane?

      Graphing inequalities on the coordinate plane is not as difficult as you might think, especially if you know what to do! In this tutorial, you'll see the steps you need to follow to graph an inequality.

      • What's a Half-Plane?What's a Half-Plane?

      What's a Half-Plane?

      If you graph an inequality on the coordinate plane, you end up creating a boundary that cuts the coordinate plane in half. Each of these halves is called a half-plane. Learn about half-planes by watching this tutorial!

  • Systems of Linear Inequalities

      • What's a System of Linear Inequalities?What's a System of Linear Inequalities?

      What's a System of Linear Inequalities?

      A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations! To solve such a system, you need to find the variable values that will make each inequality true at the same time. This tutorial will introduce you to systems of inequalities.

Further Exploration

  • Solving Systems of Equations

      • How Do You Solve a System of Equations by Graphing?How Do You Solve a System of Equations by Graphing?

      How Do You Solve a System of Equations by Graphing?

      There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by graphing both lines and finding their intersection. Take a look!