https://file.aiquickdraw.com/mathbot/file/17271892068114yfo6cgk.jpg

The inequality \( y \leq 3 \) represents the region on the coordinate plane where the \( y \)-coordinate of points is less than or equal to 3. This means the boundary line is \( y = 3 \), and the region below this line (including the line itself) should be shaded.

Looking at the graphs provided in the image:

- **Graph A** shows a horizontal boundary at \( y = 3 \), with shading below the line and the line itself being solid. This correctly represents the inequality \( y \leq 3 \).
- The other graphs (B, C, and D) either have shading above the line or use a dashed line, which does not match the inequality.

Therefore, the correct answer is **a. A**.

Would you like further details on graphing inequalities or any related questions? Here are some follow-up questions:

1. How do you graph \( y \geq 3 \) on a coordinate plane?
2. What is the difference between a solid and a dashed line in inequalities?
3. How do you represent the inequality \( y < 3 \) on a graph?
4. Can inequalities be represented in three-dimensional space?
5. How do you solve a system of inequalities graphically?

**Tip**: A solid line in an inequality graph (like \( y \leq 3 \)) means that the boundary is included in the solution set, while a dashed line means it is not.

Which graph below represents the inequality y ≤ 3?

Identify the correct graph that represents the inequality y ≤ 3. This problem covers key concepts related to graphing inequalities, using solid boundary lines and shading the correct region of the coordinate plane. Suitable for students in Grades 6-8.

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