1. 6.6 Systems of Linear Inequalities
I can solve systems of linear inequalities by graphing and model real-world situations using systems of inequalities.

2. Systems of Linear Inequalities
Two or more linear inequalities
A solution to a system of linear inequalities is an ordered pair that makes ALL of the inequalities on the system true.
We can use a graph to find these solutions

3. Graphing Systems Find the solutions to the system:
Graph each inequality in the same plane.
The overlap of each graph is the solution.

4. Writing a System of Inequalities
What system is represented by the graph below?
y < x + 5
y ≥ x – 1

5. You Try! What system of equations is represented by the graph?
y < x + 1
y ≤ 1 2 x + 1

6. Using a System of Inequalities
You can spend at most 6 h playing basketball and doing homework. You want to spend less than 2 h playing basketball. You must spend at least 1.5 h on homework. Draw a graph to show how you can spend your time.
First, define variables
Write a system:
x + y ≤ 6 At most 6 hours playing and doing homework
x < Less than 2 hours playing
y ≥ At least 1.5 hours on homework
Graph the system

7. Assignment
Odds p. 403 #7-29