Warmups

1
Warmups

• Graph
• 1. x 3y 6
• 2. y -2x 4
• 3. y 3 1(x 2)
• 4. y -2
• 5. x 4

2
Working backwards

• Given the graph, you come up with inequality
  involving absolute value
• x-middle Distance to middle

and? or?
3
TOO

• Given the graph, you come up with inequality
  involving absolute value
• x-middle Distance to middle

and? or?
4
7-8 Graphing Inequalities with 2 Variables

• Objective To graph an inequality on a coordinate
  plane.

5
Steps to Graphing Inequalities
Write on Notes Paper

• Dotted or Solid Line?
• Graph line as if it said
• Review graphing see Chapter 6
• Choose a test point that is not on the line
• Usually (0,0)
• Shade appropriate side
• If true shade where test point is
• If false shade opposite side

lt or gt
lt or gt
6
1. y lt -2x 3

• Dotted
• b 3, m -2
• (0,0)
• 0 lt -2(0) 3
• 0 lt 0 3
• 0 lt 3
• True

(Shade this side)
7
2. 4x 2y gt 8

• Solid
• (2,0) (0,4)
• (0,0)
• 4(0) 2(0) gt 8
• 0 0 gt 8
• 0 gt 8
• False

(Shade this side)
8
3. 2x 3y lt 12

• Dotted
• (6,0) (0,-4)
• (0,0)
• 2(0) - 3(0) lt 12
• 0 0 lt 12
• 0 lt 12
• True

(Shade this side)
9
4. y gt 3x

• Dotted
• b 0, m 3/1
• (1,1)
• 1 gt 3(1)
• 1 gt 3
• False

(Shade this side)
10
5. y lt -3

• Solid
• y -3
• (0,0)
• 0 lt -3
• False

(Shade this side)
11
6. y 2 lt -1/2(x 4)

• Solid
• (-4,2) m -1/2
• (1,1)
• 1 -2 lt -1/2(1 4)
• -1 lt -1/2(5)
• -1 lt - 2.5
• False

(Shade this side)
12
TOO

1. 3x y gt 6
2. y lt -3/4x 5

13
Homework

• Pg. 440 23-37 odd