Identify the Inequality Using the Numerical Axis between -7 and -2

To solve the problem and determine the inequality represented by the number line, follow these steps:

• Examine the endpoints of the interval on the number line. At $-7$, there is an open circle, indicating that $-7$ is not included in the interval.
• At $0$, there is a closed circle, indicating that $0$ is included in the interval.
• This gives us the inequality for the interval: open at $-7$ ($<$) and closed at $0$ ($\leq$).

Therefore, the inequality represented by the number line is $-7 < x \leq 0$.

This is consistent with option 1 in the provided choices. The inequality is represented by $-7 < x \leq 0$.