1. 1) Graphing Linear Inequalities What linear inequality graphs look like… 1) boundary line (solid or dashed) 2) shaded area (above or below the boundary line)

2. 1) Graphing Linear Inequalities Example 1: Graph the inequality y < 2x + 2 m = 2 y-int = 2 y < SHADE BELOW the line

3. 1) Graphing Linear Inequalities Example 2: Write an inequality for the graph below. y –int = -3 m = -3/2 inequality type > y = mx + b

4. 1) Graphing Linear Inequalities Example 2: Write an inequality for the graph below. y –int = -3 m = -3/2 inequality type > Sub into y > mx + b y > -3x/2- 3

5. 2) Absolute Value Inequalities Graph the absolute value function then shade above OR below Solid line…y Dashed line…y Shade above y>, y> Shade below…y<, y<

6. 2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3 DASHED line Shade BELOW slope = 1 Vertex = (2, 3)

7. 2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3 DASHED line Shade BELOW slope = 1 Vertex = (2, 3)

8. 2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3 DASHED line Shade BELOW slope = 1 Vertex = (2, 3)

9. 2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3 DASHED line Shade BELOW slope = 1 Vertex = (2, 3)

10. 2) Absolute Value Inequalities y > 2|x + 2| + 1 Vertex = (-2, 1) Slope = 2 Solid line Shade above

11. 2) Absolute Value Inequalities y > 2|x + 2| + 1

12. 2) Absolute Value Inequalities y > 2|x + 2| + 1

13. 2) Absolute Value Inequalities y > 2|x + 2| + 1

14. 2) Absolute Value Inequalities Example 3: Write an equation for the graph below.