The inequality given is $y \leq 3$.

To graph this inequality:

1. Draw a horizontal line at $y = 3$:

   • This line represents the boundary for the inequality.

2. Use a solid line for the graph of $y = 3$:

   • Since the inequality is $\leq$ (less than or equal to), you will use a solid line to include the points where $y = 3$ in the solution.

3. Shade the region below the line:

   • The inequality states $y \leq 3$, so we shade the region below the line, where $y$ is less than or equal to 3.

Summary of the graph:

• A solid horizontal line at $y = 3$.
• The area below this line is shaded to indicate the region where $y \leq 3$.

Would you like a detailed step-by-step breakdown of this process or any specific part explained further?

Here are 5 related questions to expand on this concept:

1. How do you graph inequalities involving two variables?
2. What changes when the inequality sign is $y > 3$?
3. How do you graph inequalities on a number line versus a coordinate plane?
4. What is the significance of using a dashed line instead of a solid line in inequalities?
5. How do you graph inequalities with both $x$ and $y$ (e.g., $y \leq 2x + 1$)?

Tip: Always remember, if the inequality is strict (e.g., $<$ or $>$), the boundary line should be dashed instead of solid!