https://file.aiquickdraw.com/mathbot/file/1728587999547qlby2uz1.jpg

To determine which point is a solution for the system of inequalities, we need to focus on the shaded region in the graph. The shaded region represents the area where both inequalities are satisfied.

The boundary lines in the graph divide the plane, and the shaded region where the two overlap represents the solution set for the system of inequalities.

Let's go through the points given in the options and check if they fall within the shaded region:

- **A. (4, 2)**: This point appears to be outside the shaded region.
- **B. (-4, -1)**: This point also seems to be outside the shaded region.
- **C. (2, 3)**: This point looks like it is inside the shaded region.
- **D. (1, -1)**: This point is outside the shaded region as well.

The point **C. (2, 3)** is the only point that lies within the shaded region, which means it satisfies both inequalities.

### Final Answer:
**C. (2, 3)** is the correct answer.

Would you like more details on how to verify this graphically or algebraically?

### Related Questions:
1. How can you algebraically determine if a point satisfies a system of inequalities?
2. What are the general steps to graph a system of inequalities?
3. What is the significance of the boundary lines in systems of inequalities?
4. How do you determine whether to shade above or below a boundary line?
5. How can testing points help in solving systems of inequalities?

### Tip:
When working with inequalities and graphs, always test points from the solution region to confirm they satisfy both inequalities.

Which point is a solution for the system of inequalities shown in the graph below?

Identify which point is a solution for the system of inequalities based on the overlapping shaded regions in the graph. This problem involves graphing systems of inequalities on a coordinate plane and determining if points fall within the solution area. Suitable for Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation