1. 6-5: Linear Inequalities Day 1

2. Graphing Inequalities in the Coordinate Plane When a line is drawn in a plane, the line separates the plane into __________ distinct regions called ________________. The line itself is the ________________ of the two regions. The boundary does __________ belong in either half plane. HALF-PLANES TWO BOUNDARY NOT half-plane

3. To Graph a Linear Inequality: 1.Determine the boundary line: Dashed: Points on the line are included. Solid: Points on the line included. 2.Test a point to see where the graph should be shaded: 3.Shade the area of the inequality that is represented by the equation: NOT ARE Use an easy point not on the boundary line like (0,0).

4. Example 1: Graph y > 2x + 7 Test (0, 0) y > 2x + 7 0 > 0 + 7 Test (-4, 0) y > 2x + 7 0 > -8 + 7 0 > -1

5. Example 2: Graph y  -3x - 2 Test (0, 0) y ≤ -3x - 2 0 ≤ 0 - 2 Test (-4, 0) y ≤ -3x - 2 0 ≤ 12 - 2 0 ≤ 10 0 ≤ - 2

6. Example 3: Graph x  2 Test (0, 0) x ≤ 2 0 ≤2 Test (3, 0) x ≤ 2 3 ≤ 2 False True

7. Homework: p. 418-419 # 6-22 even

8. 6-5: Linear Inequalities Day 2

9. Example 1: Give the inequality for each graph below. Slope =_________ y-intercept =_________ Inequality =______________

10. Example 2: Give the inequality for each graph below. Inequality =______________

11. Homework: p.422-4223 #’s 3-13