Warmups Graph: 1. x – 3y = 6 2. y = -2x y – 3 = 1(x + 2) 4. y = x = 4

Working backwards… Given the graph, you come up with inequality involving absolute value… |x-middle #| Distance to middle and? or?

TOO Given the graph, you come up with inequality involving absolute value… |x-middle #| Distance to middle and? or?

7-8 Graphing Inequalities with 2 Variables Objective: To graph an inequality on a coordinate plane.

Steps to Graphing Inequalities 1. Dotted or Solid Line? 2. Graph line as if it said “=“ *Review graphing see Chapter 6* 3. Choose a test point that is not on the line *Usually (0,0) 4. Shade appropriate side *If “true” shade where test point is *If “false” shade opposite side Write on “Notes” Paper

1. y < -2x + 3 1) Dotted 2) b = 3, m = -2 3) (0,0) 0 < -2(0) < < 3 4) True (Shade this side)

2. 4x + 2y > 8 1) Solid 2) (2,0) (0,4) 3) (0,0) 4(0) + 2(0) > > 8 0 > 8 4) False (Shade this side)

3. 2x – 3y < 12 1) Dotted 2) (6,0) (0,-4) 3) (0,0) 2(0) - 3(0) < < 12 0 < 12 4) True (Shade this side)

4. y > 3x 1) Dotted 2) b = 0, m = 3/1 3) (1,1) 1 > 3(1) 1 > 3 4) False (Shade this side)

5. y < -3 1) Solid 2) y = -3 3) (0,0) 0 < -3 4) False (Shade this side)

6. y – 2 < -1/2(x + 4) 1) Solid 2) (-4,2) m = -1/2 3) (1,1) 1 -2 < -1/2(1 + 4) -1 < -1/2(5) -1 < ) False (Shade this side)

TOO 1. 3x – y > 6 2. y < -3/4x + 5

Homework Pg. 440 #23-37 odd