This document provides steps for graphing linear inequalities: 1) Drop the inequality sign and graph the equation; 2) Determine the boundary line as dotted or solid based on < or >; 3) Replace the inequality sign and shade the appropriate region below or above the boundary line based on whether it is < or >.

1. Graphing Linear
Inequalities

2. Vocabulary Terms
● Boundary Lines
● Linear Inequality

3. Steps to Graphing
1. Linear Equations vs. Linear Inequalities
● Drop the inequality sign.
y<2x+3
● Change to a linear equation.
y=2x+3

4. Steps to Graphing
2. Solve for y.
-2x+y= 3
+2x +2x
y=2x+3

5. Steps to Graphing
3. Graph the equation.
y=2x+3

6. Steps to Graphing
4. Determine the
boundary lines.
< > equals dotted line
< > equals solid line

7. Steps to Graphing
5. Replace the equation with the original
statement of inequality.
Change y=2x+3 back to y<2x+3.

8. Steps to Graphing
6. Shade
y< or y< shade below
y> or y> shade above

9. Linear Inequalities
Graphing Systems