Question

How is the graph of a system of linear inequalities related to the solutions of the system of inequalities?

Answer 1

The graph of a system of linear inequalities represents the solution set of the system. Each inequality in the system represents a boundary line on the graph, and the region of the graph that is shaded or unshaded represents the set of points that satisfy all the given inequalities. Therefore, the points on the graph that are shaded represent the solutions to the system of inequalities.