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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
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