Warmups

Graph:
1. x – 3y = 6
2. y = -2x + 4
3. y – 3 = 1(x + 2)
4. y = -2
5. x = 4
Working backwards…

Given the graph, you come up with inequality involving
absolute value…
and?
|x-middle #|
Distance to middle
or?
TOO

Given the graph, you come up with inequality involving
absolute value…
and?
|x-middle #|
Distance to middle
or?
7-8 Graphing
Inequalities with 2
Variables
Objective: To graph an inequality
on a coordinate plane.
Write on “Notes” Paper
Steps to Graphing Inequalities
1.
Dotted or Solid Line?
< or >
2.
< or >
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
1. y < -2x + 3
1)
2)
3)
4)
Dotted
b = 3, m = -2
(0,0)
0 < -2(0) + 3
0<0+3
0<3
True
(Shade this side)
2. 4x + 2y > 8
1)
2)
3)
4)
Solid
(2,0) (0,4)
(0,0)
4(0) + 2(0) > 8
0+0>8
0>8
False
(Shade this side)
3. 2x – 3y < 12
1)
2)
3)
4)
Dotted
(6,0) (0,-4)
(0,0)
2(0) - 3(0) < 12
0 + 0 < 12
0 < 12
True
(Shade this side)
4. y > 3x
1)
2)
3)
4)
Dotted
b = 0, m = 3/1
(1,1)
1 > 3(1)
1>3
False
(Shade this side)
5. y < -3
1)
2)
3)
4)
Solid
y = -3
(0,0)
0 < -3
False
(Shade this side)
6. y – 2 < -1/2(x + 4)
1)
2)
3)
4)
Solid
(-4,2) m = -1/2
(1,1)
1 -2 < -1/2(1 + 4)
-1 < -1/2(5)
-1 < - 2.5
False
(Shade this side)
TOO
1.
3x – y > 6
2.
y < -3/4x + 5
Homework

Pg. 440 #23-37 odd