The document provides instructions and lesson content for assignment on systems of inequalities. It includes: 1) A list of 3 assignment tasks - solving practice problems, completing a review handout, and preparing for a test. 2) Examples of graphing individual inequalities on a coordinate plane. 3) An explanation of systems of inequalities as sets of two or more inequalities with the same variables, and how their solutions are represented by the overlap of the inequality graphs. 4) Worked examples of graphing systems of inequalities and identifying their solution sets.

1. Assignment:
1­­>L6.8, pg. 384, #2 ­ 24 (evens) ­ Due Wednesday (2/1)
2­­>Chapter 6 Review Handout
3­­>Chapter 6 Test ­ Thursday (2/2)
1

2. 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
2

3. 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
3

4. Lesson 6.8 examples:
Solve the system of inequalities by graphing.
A) y > ­2x + 1
y < x + 3 Y
X
4

5. B) y < 3
x + y > 1
Y
X
5

6. C) 2x + y > 2
2x + y < 4 Y
X
6

7. D) 3x ­ y > 2
Y
3x ­ y < ­5
X
7

8. E) y < 3x
x ­ y < 8 Y
X
8