What is a Solution To A System Of Linear Inequalities?

Note:

What is a solution to a system of inequalities? Can a such a system have more than one solution? Follow along with this tutorial to learn the answers to these questions, and more!

Keywords:

Definition
System
Inequalities
Solution

Background Tutorials

Definitions of Systems
- What's a System of Linear Equations?
  
  A system of equations is a set of equations with the same variables. If the equations are all linear, then you have a system of linear equations! To solve a system of equations, you need to figure out the variable values that solve all the equations involved. This tutorial will introduce you to these systems.
- What's a Solution to a System of Linear Equations?
  
  If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time. Follow along as this tutorial uses an example to explain the solution to a system of equations!
Graphing Linear 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.
- 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!
- How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?
  
  To see if an ordere
Systems 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.
Ordered Pairs and The Coordinate Plane
- What is the Origin?
  
  The coordinate plane has two axes: the horizontal and vertical axes. These two axes intersect one another at a point called the origin. Learn about the ordered pair that indicates the origin and its location in the coordinate plane by watching this tutorial!