1. 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.

2. 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.

4. Example #1 Graph y > 2x + 1

5. Example #2 Graph y ≤ -2

6. Example #3 Graph

7. Example #4 Graph