To solve the problem, we analyze the number line and the interval represented by the two points:

1. The filled circle at $-3$ indicates that $x = -3$ is included in the solution.
2. The open circle at $0$ means $x = 0$ is not included in the solution.
3. The line between $-3$ and $0$ shows that all values between them (but not including $0$) are part of the solution.

Thus, the inequality can be written as:

$-3 \leq x < 0$

Integer solutions:

The integer values of $x$ that satisfy this inequality are:

$-3, -2, -1$

Would you like a more detailed explanation, or clarification about this type of inequality?

Related Questions:

1. How would the solution change if the open circle at $0$ became a filled circle?
2. Write the inequality for the interval $-4 \leq x < 2$.
3. How do you represent an inequality on a number line?
4. If the interval was $-3 < x \leq 0$, what would the integer solutions be?
5. Can you write the inequality for a number line with a filled circle at $2$ and an open circle at $5$?

Tip: Always check whether the endpoints (open or filled circles) are included when solving inequalities on a number line.