The graph provided shows a system of inequalities, and the shaded region represents the solution set of these inequalities. To find which ordered pair is within this solution set, we will evaluate the positions of the four options given.

The options are:

1. (-2, -1)
2. (-2, -2)
3. (-2, -4)
4. (2, 2)

Now, let's check each ordered pair:

• (-2, -1): This point lies just inside the lower-left shaded region, meaning it is part of the solution.
• (-2, -2): This point is not within the shaded region.
• (-2, -4): This point is below the shaded region and also outside the solution.
• (2, 2): This point is far outside the shaded region.

The correct answer is (-2, -1), as it falls within the shaded area, satisfying all inequalities.

Do you want any more details or have questions about this?

Here are 5 related questions to deepen understanding:

1. How do you identify the inequality from the boundary lines in a graph?
2. What does a dashed boundary line in an inequality graph represent?
3. Can two inequality solution sets overlap? What happens if they do?
4. How would the solution set change if the inequalities were reversed?
5. What is the effect of switching from "<" to "≤" on the solution set boundaries?

Tip: When analyzing graphs of inequalities, always check whether the boundary lines are solid or dashed, as this indicates whether points on the boundary are included in the solution.