The image shows a number line with a graph, and the task is to write a compound inequality based on that graph. The graph consists of two filled-in points at $x = -4$ and $x = 6$, with a solid line connecting them. This represents the interval between these two points.

Since the dots at $x = -4$ and $x = 6$ are filled, it indicates that the values at $-4$ and $6$ are included, meaning the inequality should involve "less than or equal to" symbols (≤).

The compound inequality is:

$-4 \leq x \leq 6$

This means that $x$ is greater than or equal to $-4$, and less than or equal to $6$.

Would you like more details or have any further questions?

Related questions:

1. How do you solve inequalities involving absolute values?
2. What is the difference between strict inequalities and inclusive inequalities?
3. How do you graph inequalities on a number line?
4. How do compound inequalities relate to systems of inequalities?
5. How can inequalities be used in real-world problem-solving?

Tip:

When solving compound inequalities, it's important to treat each part of the inequality separately before combining them into one statement.