1. 3.7 Systems of Inequalities
Learning goals
graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes
solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables
represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context

2. Ex 1

3. Ex 2

4. Ex 3

5. Ex 4
Jenna spends at most 150 minutes a night on math and science homework.
She spends at least 60 min on math. Write and solve a system of inequalities to model how she allots her time for these two subjects.

6. Ex 5 Consider the following questions
Is the solution of a system of linear inequalities the union or the intersection of the solutions of the two inequalities? Explain.
Explain how the graphical solution of a system of inequalities is different from the graphical solution of a system of equations.