Solving Linear Inequalities

1. Explain the steps to graph the inequality 3x + 2y < 12 on a coordinate plane. What type of line will you use, and how will you shade the solution area?

2. Given the system of inequalities: 1) y ≥ 1/2x + 3 2) y < -x + 5 Describe the region that represents the solution set of this system.

3. Graph the following inequalities on the same coordinate plane: 1) y ≤ -2x + 4 2) y > 1/3x - 2 Identify and describe the overlapping region that satisfies both inequalities.