In this video, we are going to work on graphing the solution set of a system of linear inequalities. So let's talk about the process involved. When we have two or more inequalities considered together, we call that a system of inequalities. The solution set of a system of inequalities is the intersection of the solution sets of the individual inequalities. So to graph the solution set of a system of inequalities, we'll first graph the solution set of each inequality. Now remember that each of these solution sets is a half-plane. The solution set of the system of inequalities is the region of the plane represented by the intersection of the half-planes.