The given graph represents a number line with shading between two points, specifically at $-3$ and $7$. The red circles at these points are solid, indicating that the endpoints are included in the interval.

The inequality that describes this graph is:

$-3 \leq x \leq 7$

This means that $x$ can take any value from $-3$ to $7$, inclusive.

Would you like more details or have any questions?

Here are some related questions:

1. What are the different types of inequality symbols and what do they mean?
2. How can you determine whether to include or exclude endpoints in an inequality?
3. What is the difference between strict and non-strict inequalities?
4. How do you graph a strict inequality on a number line?
5. Can inequalities be combined, and if so, how?
6. How do inequalities change when multiplied or divided by a negative number?
7. What are the real-life applications of inequalities?
8. How do you solve inequalities involving absolute values?

Tip: When graphing inequalities, always pay attention to whether the endpoints are included (solid dot) or excluded (open dot).