This document contains notes from a math lesson on solving systems of inequalities by graphing them on a coordinate plane. It includes 5 warmup problems asking students to graph individual inequalities, an explanation of systems of inequalities and how to determine their solution sets by looking at the overlap of graphed regions. It then provides 5 example problems solving systems of inequalities by graphing and shading the common region determined by the intersection of the inequalities' graphs.

1. Lesson 6­8.notebook
November 25, 2013
Assignment:
1­­>L6.8, pg. 384, #2 ­ 24 (evens) ­ Due Tomorrow (11/26)
2­­>Checkpoint 6.5­6.6 ­ Due Tomorrow (11/26)
3­­>Chapter 6 Test ­ Tuesday (12/3)

2. Lesson 6­8.notebook
Lesson 6.8 WarmUp:
Graph the following inequalities on a
coordinate plane. [Lesson 5.6]
1) y > x ­ 3
2)
y < 2x + 1
3)
y > ­2x + 6
4)
3x + 4y > 12
5)
3x ­ 2y < 4
November 25, 2013

3. Lesson 6­8.notebook
November 25, 2013
Lesson 6.8:
*system of inequalities ­ a set of 2 or more inequalities with the same
variables
**The solution set of a system of inequalities is represented by the
overlap, or intersection, of the graphs...shown by shading
***Remember...To graph a linear inequality:
< or > means a dashed line (not included)
< or > means a solid line (included)
And...test a point to determine which "half­plane" will
be shaded

4. Lesson 6­8.notebook
November 25, 2013
Lesson 6.8 examples:
Solve the system of inequalities by graphing.
A) y > ­2x + 1
y < x + 3
Y
X

5. Lesson 6­8.notebook
November 25, 2013
B) y < 3
x + y > 1
Y
X

6. Lesson 6­8.notebook
C)
November 25, 2013
2x + y > 2
2x + y < 4
Y
X

7. Lesson 6­8.notebook
November 25, 2013
Y
D)
3x ­ y > 2
3x ­ y < ­5
X

8. Lesson 6­8.notebook
E)
November 25, 2013
y < 3x
x ­ y < 8
Y
X