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

Note:

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.

Keywords:

problem
graph
inequality
boundary
linear equation
linear inequality
half plane
shade

Background Tutorials

Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.
- 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 :)
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
- How Do You Graph a Linear Equation by Making a Table?
  
  Graphing a function? It would be really helpful if you had a table of values that fit your equation. You could plot those values on a coordinate plane and connect the point to make your graph. See it all in this tutorial!
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
- What's a Boundary?
  
  If you graph an inequality on the coordinate plane, you end up creating a boundary. This boundary cuts the coordinate plane in half. In this tutorial, you'll learn about this kind of boundary!
- 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!