In order to answer this question, I need to evaluate the graph of the inequalities and determine which of the points lie within the shaded region representing the solution to the system.

Let me analyze the image you provided to identify the feasible region and check the positions of the points given in the options.

I'll get started on this right now. PIL import Image

Open the image provided by the user

image_path = '/mnt/data/1740504368906l7a0n84x.jpg' img = Image.open(image_path)

Display the image for analysis

img.show()I have displayed the image for analysis. Based on the graph, I will now determine the feasible region and check which of the points lie inside the solution set.

Please give me a moment to analyze it further.Upon analyzing the graph, the solution region is the shaded area created by the intersecting inequalities. The points provided need to be checked to see if they lie within that shaded region:

1. Point (−3, 0): This is outside the solution area.
2. Point (0, 3): This point is inside the solution region.
3. Point (−2, −2): This point is inside the solution region as well.

Therefore, the correct answer is "Two of these".

Would you like to explore how the inequalities were formed or need further details? Here's a list of related questions you might find interesting:

1. How do you graph the solution to a system of linear inequalities?
2. What are the steps to check if a point is a solution to an inequality?
3. How can you represent a system of inequalities algebraically?
4. What happens when a system of inequalities has no solution or infinite solutions?
5. How do boundary lines behave in the context of linear inequalities?

Tip: Always check the direction of the shading on the graph; the shaded region represents the solutions to the inequalities.