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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?

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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.

Graph the inequality on the number line and then write it in interval notation: -3 < x < 0

Learn how to graph the inequality -3 < x < 0 on a number line and write the solution in interval notation. This problem covers key algebra concepts involving inequalities and graphing, suitable for students in Grades 6-8.

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