1. Graphing Inequalities
Brett Solberg ASH ‘11-’12

2. Warm-Up Graph the following lines:
y = 2x – 3
-3x – 6y = 12
What problem from your homework would you like to do as a class?

3. Calendar Today - Section 4.7 Tuesday Test (Soccer Playoffs)
Review Extra Credit
Tuesday Test (Soccer Playoffs)
All late work due!
Thu/Fri No school UEA
End of Quarter Oct 27

4. Graphing Inequalities
Graph a Single Inequality
Graph Multiple Inequalities
Identify Solutions

5. Graphing
y = mx + b
m = slope
b = y- intercept
y = 2x - 3

6. Inequality Review < > use an open circle ≤ ≥ use a closed circle
x ≥ -1 x < 3

7. 2 Variable Inequality < and > is a dashed line
≤ and ≥ is a solid line
The inequality covers a region
y < -x + 1

9. Graphing Inequalities
graph y > 2x
What does y = 2x look like?
How will y > 2x be different?
dotted line
region

10. Graphing Inequalities
Graph 2x + y ≥ 2
Solve for y
y ≥ -2x + 2
Compare to y = -2x + 2
solid line
Which side do we shade?
test (0,0)
2*0 + 0 ≥ 2
0 ≥ 2
(0, 0) is not a solution
Shade region not involving (0, 0)

11. Split into two equations What would -4 = x and x = 1 look like?
Graph -4 ≤ x < 1
Split into two equations
-4 ≤ x and x < 1
What would -4 = x and x = 1 look like?
What type of lines are we using?
Which region do we shade?
test x = 0

12. Graph y > x, y > -x, and y < 1
What does y = x, y = -x, and y = 1 look like?
What type of lines?
Where do we shade?

13. Graphing Inequalities
Solve for y.
Compare inequality to equation.
Draw solid/dashed line.
Test (0, 0)
Shade appropriate region.

14. Graph 2x + 3y ≤ 6 4x + y ≤ 4
y ≤ −2 3 x + 2 y ≤ -4x + 4
y = −2 3 x + 2 y = -4x + 4
0 ≤ −2 3 (0) ≤ -4(0) + 4

15. Homework 4.7 pg. 192 # 3-33 multiples of 3, 42-48 all
Graph Paper on the side table.