Graphing Linear Inequalities in Two Variables

A solution to a linear inequality is a point (x, y) that makes the inequality true. The solution set includes all of these points.

Key Idea:

The graph of an inequality in two variables shows all of the solutions of the inequality on a

coordinate plane. The boundary line divides the coordinate plane into two half-planes. A dashed

boundary line means that the solution set does not contain the points on the line. A solid boundary line means that it does. The graph is shaded to

indicate which half plane is included in the solution set.

Example #1Graph y > 2x + 1

Example #2Graph y ≤ -2

Example #3Graph

x

y

Example #4Graph

x

y