1. LESSON TOPIC: Graphing Linear Inequalities
AIM: How do we graph the solution set of linear inequalities?
OBJECTIVE: Students will be able to graph the solution set of linear inequalities on the x-y coordinate plane.
CCLS: A.REI.D.12 – Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
WARM UP: Homework Review (Modeling Inequalities)

2. Homework Review

3. KEY WORDS/VOCABULARY
x-y coordinate system – A method of representing points in the plane or in space by means of numbers
x-axis – The horizontal axis; the line whose equation is y = 0.
y-axis – The vertical axis; the line whose equation is x = 0.
x-intercept – The point when a graph of an equation crosses the x-axis.
y-intercept – The point when a graph of an equation crosses the y-axis.

4. Graphing Inequalities
1.  Solve the equation for y (if necessary).
2.  Graph the equation as if it contained an = sign.
3.  Draw the line solid if the inequality is ≤ or ≥.
4.  Draw the line dashed if the inequality is < or > 
5.  If ≥ or >, shade above the line.
6.  If ≤ or <, shade below the line.
7. Put the inequality into Y = in your calculator to
check.

5. Let’s Practice!: Graphing Inequalities

6. Let’s Practice!: Graphing Inequalities

7. Let’s Practice!: Graphing Inequalities

8. Let’s Practice!: Graphing Inequalities