1. 6-6 Systems of Linear Inequalities
Learning Targets:
I can solve systems of linear inequalities by graphing.
I can model real-world situations using systems of linear inequalities.

2. System of Linear Inequalities: made up of two or more linear inequalities Solution of a system of linear inequalities: an ordered pair that makes all the inequalities in the system true
Learning Targets:
I can solve systems of linear inequalities by graphing.
I can model real-world situations using systems of linear inequalities.

3. Problem 1: Graphing a System of Linear Inequalities
Determine whether the ordered pair is a solution of the given system
1−𝑥≥3𝑦
3𝑦−1>2𝑥
(0,1)
Learning Targets:
I can solve systems of linear inequalities by graphing.

4. Determine whether the ordered pair is a solution of the given system
2𝑥+3𝑦>2
3𝑥+5𝑦>1
(−2,3)
Learning Targets:
I can solve systems of linear inequalities by graphing.

5. Problem 1: Graphing a System of Linear Inequalities
Learning Targets:
I can solve systems of linear inequalities by graphing.

6. Learning Targets:
I can solve systems of linear inequalities by graphing.

7. Learning Targets:
I can solve systems of linear inequalities by graphing.

8. Problem 2: Writing a System of Inequalities From a Graph
What systems of inequalities is represented by the graph below?
Learning Targets:
I can solve systems of linear inequalities by graphing.

9. What systems of inequalities is represented by the graph below?
Learning Targets:
I can solve systems of linear inequalities by graphing.

10. What systems of inequalities is represented by the graph below?
Learning Targets:
I can solve systems of linear inequalities by graphing.

11. Problem 3: Using a System of Inequalities
You are planning what to do after school. You can spend at most 6 hours playing basketball and doing homework. You want to spend less than 2 hours playing basketball. You must spend at least 1.5 hours on homework. What is a graph showing how you can spend your time?
Learning Targets:
I can solve systems of linear inequalities by graphing.
I can model real-world situations using systems of linear inequalities.

12. Problem 3: Using a System of Inequalities
A dog walker earns $15 per hour. She also earns $12 per hour for babysitting. She wants to earn at least $300 next week, but can work no more that 30 hours. What is a graph showing how many hours she can work at each job?
Learning Targets:
I can solve systems of linear inequalities by graphing.
I can model real-world situations using systems of linear inequalities.