1. WARM UP Solve the following systems of linear equations by any method of your choice. Infinitely many solutions No solution

2. HOMEWORK ANSWERS 12. E; exactly one solution 13. D; no solution 14. F; exactly one solution 15. B; infinitely many solutions 16. A; no solution 17. C; infinitely many solutions 18. no solution 19. infinitely many solutions 20. exactly one solution; (0, -4) 21. infinitely many solutions 22. one solution; (-1, -4) 23. no solution

3. 7.6 – GRAPHING SYSTEMS OF LINEAR INEQUALITIES ALGEBRA 1(B)

4. OBJECTIVES 1. Graph systems of linear inequalities 2. Apply systems of linear inequalities in a real-world context

5. SYSTEMS OF INEQUALITIES Solution of a Linear System of Equations Can be determined by graphing, combination, or substitution Written as an ordered pair Point of intersection of two lines Makes all equations in the system true Solution of a Linear System of Equations Can be determined by graphing, combination, or substitution Written as an ordered pair Point of intersection of two lines Makes all equations in the system true Solution of a Linear System of Inequalities Brainstorm with a partner: What does is mean to be a solution of a linear system of equations?

6. SYSTEMS OF INEQUALITIES System of Linear Equations System of Linear Inequalities Systems of linear inequalities have inequality symbols:

7. SYSTEMS OF INEQUALITIES Solve the system of inequalities by graphing. 12 345 67 8 910 1 2 3 5 6 4 7 8 9 -6 -4-2 -8 -6 -2 -4 -8

8. SYSTEMS OF INEQUALITIES Solve the system of inequalities by graphing. 12 345 67 8 910 1 2 3 5 6 4 7 8 9 -6 -4-2 -8 -6 -2 -4 -8

9. BREAK TIME Use this time to get up, stretch out, talk to a neighbor, or try the following rebus puzzles… Beaten black and blue To err on the right side

10. SYSTEMS OF INEQUALITIES Solve the system of inequalities by graphing. 12 345 67 8 910 1 2 3 5 6 4 7 8 9 -6 -4-2 -8 -6 -2 -4 -8

11. SYSTEMS OF INEQUALITIES Solve the system of inequalities by graphing. 12 345 67 8 910 1 2 3 5 6 4 7 8 9 -6 -4-2 -8 -6 -2 -4 -8

12. SYSTEMS OF INEQUALITIES Solve the system of inequalities by graphing. 12 345 67 8 910 1 2 3 5 6 4 7 8 9 -6 -4-2 -8 -6 -2 -4 -8

13. EXIT SLIP Complete the exit slip individually before leaving today You may use your notes or textbook if you want When you are done, you may begin the homework assignment

14. HOMEWORK Do the following four problems on graph paper by tomorrow! Graph the system of linear inequalities. Show your work!