To determine the correct inequality based on the graph:

1. Step 1: Identify the boundary line
   The line shown is $y = 7$. It is drawn as a solid line, meaning the points on the line are included in the solution.

2. Step 2: Identify the shaded region
   The region below the line $y = 7$ (shaded in blue) indicates that $y$ takes values less than or equal to 7.

3. Step 3: Write the inequality
   Since the shaded area includes the boundary line and is below it, the inequality is:
   $y \leq 7$

4. Step 4: Choose the correct answer
   The correct answer is:
   D. $y \leq 7$

Let me know if you need more details or have questions!
Here are 5 related questions you might find useful:

1. How do you determine if a boundary line is included or excluded in an inequality?
2. What is the difference between $y > 7$ and $y \geq 7$ graphically?
3. How would the graph change if the shaded region was above the line $y = 7$?
4. How do you graph inequalities with a vertical line, such as $x < 4$?
5. What steps are required to graph $y \geq -3$?

Tip: A solid line on a graph indicates the inequality includes "equal to" (like $\leq$ or $\geq$), while a dashed line means the line itself is not part of the solution.