https://file.aiquickdraw.com/mathbot/file/1726686000023z1ck3hzx.jpg

The graph in the image shows a red line representing a boundary, and the shaded region is above the line. The inequality must be associated with the shaded area, meaning we are looking for points that lie within the shaded region (not on or below the line).

Let’s analyze the given points:
- **A. (0, -5):** This point is below the line and outside the shaded region.
- **B. (6, 0):** This point is outside the shaded region, even though it is to the right.
- **C. (5, -5):** This point is below the line, outside the shaded region.
- **D. (0, -3):** This point is within the shaded region.

Thus, the point that satisfies the inequality is **D. (0, -3)**.

Would you like further clarification or details?

Here are five related questions to expand on this topic:
1. What is the equation of the line in the graph?
2. How do we determine if a point lies on, above, or below a line?
3. What would the inequality look like if the shading was below the line?
4. How do you find the solution set of a system of inequalities graphically?
5. How do we test a point to see if it satisfies an inequality?

**Tip:** Always test a simple point (such as the origin) to check which region satisfies the inequality if the line doesn’t pass through it.

Which point is a solution to the inequality shown in this graph?

Analyze a graph to determine which point satisfies a given inequality. This problem covers key concepts in graphing inequalities, including understanding linear equations and identifying points in shaded regions. Suitable for students in Grades 9-10.

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