1. Section 6.6 Day 1 Solving Systems of Inequalities
Algebra 1

2. Learning Targets
Solve Systems of Inequalities

3. Review Problem 1
Graph the inequality 𝑦≤4𝑥−1

4. Review Problem 2
Graph the inequality 2𝑥−4𝑦<4

5. Group Work
What do you think a system of linear inequalities would look like?
What would the solutions of the system of linear inequalities represent?
Draw an example of a system of linear inequalities with solutions
Draw and example of a system of linear inequalities with no solutions

6. Problem 1
Graph the system of linear inequalities
𝑦>−2𝑥+1
𝑦≤𝑥+3

7. Problem 2
Graph the system of linear inequalities
𝑦≤3
𝑥+𝑦≥1

8. Problem 3
Graph the system of linear inequalities
2𝑥+𝑦≥2
2𝑥+𝑦<4

9. Problem 4
Graph the system of linear inequalities
𝑥+6𝑦≤2
𝑦≥− 1 6 𝑥+7

10. Problem 5
Graph the system of linear inequalities
2𝑦≥𝑥
𝑥−3𝑦>−6

11. Problem 6
Graph the system of linear inequalities
3𝑥−𝑦≥2
3𝑥−𝑦<−5

12. Exit Ticket for Feedback
Graph the system of linear inequalities
𝑦+12𝑥>1
2𝑦−18𝑥≤4