# 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.

### Popular Tutorials in 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.

#### How Do You Solve a System of Inequalities by Graphing?

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!

#### 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.

#### 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.

#### How Do You Figure Out Whether a Boundary is a Part of the Graph of an Inequality?

Is the boundary part of the graph of an inequality? Here's a hint: the sign of the inequality holds the answer! Learn how to test and see if the boundary is part of the graph of an inequality by watching this tutorial.

#### How Do You Solve and Graph Inequalities from a Word Problem?

Word problems are a great way to see the real world applications of math! In this tutorial, you'll see how to graph multiple inequalities to find the solution. Take a look!

#### 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!

#### How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?

To see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution. Take a look at this tutorial and learn how to determine if an ordered pair is a solution to an inequality!

#### What is a Linear Inequality?

A linear inequality is almost the same as a linear equation, except the equals sign is replaced with an inequality symbol. You'll find that a little more effort is needed to solve and graph a linear inequality, but it's nothing you can't handle! Check out this tutorial and get introduced to linear inequalities!