1. Warm-up: Graph the linear inequalities.

2. Questions over hw?

3. Foundations of Algebra
UNIT QUESTION: How do I justify and solve the solution to a system of equations or inequalities?
Standard: MCC9-12.A.REI.1, 3, 5, 6, and 12
Today’s Question:
How do I find the solutions to a system of linear inequalities graphically?
Standard: MCC9-12.A.REI.12

4. Solving Systems of Linear Inequalities in two variables
Coordinate Plane

5. System of Inequalities
Two or more inequalities in the same variables that work together

6. Solution to a System of Linear Inequalities
The intersection of the half planes of the inequalities. Look for the area where the shading overlaps. This is the solution.

7. Steps for Graphing Inequalities
Graph the LINES and appropriate SHADING for each inequality on the same coordinate plane.
Remember: DASHED for < and >, and SOLID for < and >.
The solution is the section where all the shadings OVERLAP.
Sometimes it helps to use different color pencils for each line and shaded region. It makes it easier to determine the overlapped shaded regions.

8. Ex.1

9. Ex. 2

10. Ex. 3

11. Ex. 4

12. Homework
Worksheet