Final answer:
To graph the solution to the system of inequalities, we need to graph each inequality separately and then find the region where the shaded areas overlap.
Step-by-step explanation:
To graph the solution to the system of inequalities, we need to graph each inequality separately and then find the region where the shaded areas overlap.
For the inequality 3y > 2x + 12, we can start by graphing the line 3y = 2x + 12. Choose two points on the line and connect them to create the line. Since the inequality is greater than, we need to shade the area above the line.
For the inequality 2x + y ≤ -5, we can start by graphing the line 2x + y = -5. Choose two points on the line and connect them to create the line. Since the inequality is less than or equal to, we need to shade the area below the line.
The shaded region where the two inequalities overlap is the solution to the system of inequalities.