https://file.aiquickdraw.com/mathbot/file/1729695995514mwsywy0k.jpg

The graph in the image shows a shaded region representing the solution to an inequality. The boundary line is solid, indicating that points on the line are included in the solution set. The region shaded below the line represents the solutions to the inequality.

To find which points are solutions, we need to check which ones lie in the shaded area (or on the boundary).

### The inequality:
- The line has a negative slope and appears to intersect the y-axis at \( y = 4 \) and the x-axis at \( x = 4 \), suggesting the line equation is close to \( y = -x + 4 \).
- Since the region below the line is shaded, the inequality is \( y \leq -x + 4 \).

### Solutions:
To determine which points satisfy the inequality, check if their coordinates lie in the shaded region. If points are given (not shown in the image you uploaded), simply substitute their coordinates into the inequality to confirm if they satisfy it.

Would you like to provide specific points for verification, or should I clarify further?

### Follow-up Questions:
1. Can you provide the points mentioned in the question?
2. Would you like a deeper explanation of graphing linear inequalities?
3. Do you need help identifying the exact inequality from the graph?
4. Would you like a detailed walkthrough on testing points for inequality solutions?
5. Is there any other aspect of inequalities you'd like to explore?

### Tip:
When testing points on a graph of an inequality, remember to include points on the boundary line if the line is solid, as these are also part of the solution set.

Which of the following points is a solution for the inequality that is graphed?

Identify which points are solutions to the inequality y ≤ -x + 4 by analyzing the graphed region on the coordinate plane. This problem involves understanding linear inequalities, boundary lines, and solution sets, and is ideal for students in Grades 8-10.

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