Why does the solution set of a linear inequalities covers half of the Cartesian plane? Explain.
The graph of an inequality is the set of points that represents all solutions to the inequality. A linear inequality divides the Cartesian plane into two region by a boundary line, where half represents the solutions of a linear inequality. Since the points that satisfies the inequality can be any point from one half of the Cartesian plane, that region is shaded (covered) to indicate all the points that belong to the solution set.
(Hope you get the gist of it.)
