1. Systems of Linear Inequalities
Skill 44

2. Objective
HSA-REI.6(2): Solve systems of linear equations exactly and approximately, with graphs, focusing on pairs of linear equations in two variables.

3. A system of linear inequalities is a set of two or more linear inequalities with the same variables. The solution to a system of inequalities is often an infinite set of points that can be represented graphically by shading.
*When you graph multiple inequalities on the same graph, the region where the shadings overlap is the solution region.

4. Example: Graphing Systems of Inequalities
y ≥ –x + 2
y < – 3

5. Example: Graphing Systems of Inequalities
y < –3x + 2
y ≥ –1

6. Do It Yourself: Example; Graph the Inequalities
2x + y > 1.5
x – 3y < 6

7. Do It Yourself: Example; Graph the Inequalities
2x + y < 1

8. #44: Systems of Linear Inequalities
Questions
Summarize Notes
Homework
Google Classroom
Quiz