The inequality provided is $-3 < x < 0$.

Steps to graph the inequality:

1. Open Circles: Place open circles at $-3$ and $0$ on the number line to indicate that these values are not included in the solution (since the inequality is strict, meaning "less than" but not "equal to").
2. Shade the Region: Shade the region between $-3$ and $0$ to show that all numbers between these two points satisfy the inequality.

Interval Notation:

The interval notation for $-3 < x < 0$ is $(-3, 0)$. This notation also indicates that $-3$ and $0$ are not included in the interval.

Do you need further details or have any questions?

Here are some related questions:

1. How would the graph and interval notation change if the inequality was $-3 \leq x \leq 0$?
2. What is the solution set if the inequality was $-3 \leq x < 0$?
3. How would you graph the inequality $x \geq -2$ on the number line?
4. How can you express the union of the intervals $(-3, 0)$ and $(0, 5)$?
5. What does the interval $(-5, 2]$ represent on a number line?

Tip: When dealing with inequalities, always pay attention to whether the inequality includes the boundary values (using $\leq$ or $\geq$) or not (using $<$ or $>$). This distinction determines whether you use open or closed circles on the number line.