The solution of a system of linear inequalities is shown as a shaded region in the x-y coordinate system that includes all the points whose ordered pairs make the inequalities true. The solution to a ...The solution of a system of linear inequalities is shown as a shaded region in the x-y coordinate system that includes all the points whose ordered pairs make the inequalities true. The solution to a single linear inequality is the region on one side of the boundary line that contains all the points that make the inequality true. The solution of the system is the region of the graph that is double shaded and so is shaded darker.