https://file.aiquickdraw.com/mathbot/file/1726685552340426lalv7.jpg

Looking at the provided graph and inequality, it seems that the graph shows a shaded region representing the solutions to an inequality, likely of the form \( y > mx + b \) or \( y < mx + b \), depending on whether the region is above or below the line.

From the image:

- The dashed red line represents the boundary, indicating that points **on the line are not included** in the solution.
- The shaded region above the dashed line (likely indicating \( y > mx + b \)) represents the solution set.

### Now, let's analyze the points:

- **A. (3, –1)**: This point is on the line. Since the line is dashed, it is **not included** in the solution.
- **B. (5, –5)**: This point is below the dashed line, so it is **not a solution** to the inequality.
- **C. (–3, –3)**: This point is also on the line, and like point A, it is **not a solution** due to the dashed boundary.
- **D. (1, 5)**: This point is above the dashed line and lies in the shaded region. Therefore, it **is a solution** to the inequality.

### Final Answer:
The correct answer is **D. (1, 5)**.

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Would you like any further details or explanations?  
Here are five related questions to expand your understanding:

1. What does a dashed line signify in a graph of inequalities?
2. How do you determine if a point is a solution to an inequality based on a graph?
3. How would the graph change if the line were solid instead of dashed?
4. What is the general form of a linear inequality?
5. How can you algebraically verify if a point is a solution to an inequality?

**Tip**: Always check the type of boundary (dashed or solid) to know if points on the line are included in the solution set of the inequality.

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

Discover how to find which points satisfy the inequality represented on a graph. This example involves understanding inequalities, interpreting shaded regions, and determining which points lie within the solution set.

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