1. 4 minutes
Warm-Up
Solve and graph. 1) 2)

2. 6.5 Inequalities in Two Variables
Objectives:
To determine whether a given ordered pair is a solution of an inequality
To graph inequalities in two variables

3. Example 1
Determine whether (4,1) is a solution of the inequality 3x + 2y < 20. 4 1
3x + 2y < 20 x y
3(4) + 2(1) < 20
< 20
14 < 20
True
(4,1) is a solution

4. Example 2 Graph the linear inequality. y > -x - 3 -8 -6 -4 -2 2 4 6

5. Example 3
Graph the linear inequality. -8 -6 -4 -2 2 4 6 8

6. Practice 1) Determine whether (4,8) is a solution of y > 2x + 1.
Graph each linear inequality.
2) y > -2x - 2 3)

7. Example 4 Graph the linear inequality on the coordinate plane. -8 -6-4 -2 2 4 6 8

8. Example 5 Graph the linear inequality on the coordinate plane. -8 -6-4 -2 2 4 6 8

9. Practice Graph each linear inequality on the coordinate plane.
2) x > 2

10. Example 6
Write an inequality for the graph. -8 -6 -4 -2 2 4 6 8

11. Practice 1) Write an inequality for the graph below. -8 -6 -4 -2 2 4 6