The graph in the image shows a number line with a hollow circle at $m = -4$, and shading extending to the left.

Key Observations:

1. Hollow Circle: Indicates that $m = -4$ is not included.
2. Shading to the Left: Indicates values less than $-4$.

Conclusion:

The inequality represented by this graph is: $m < -4$

Answer:

The correct option is: $\boxed{m < -4}$

Would you like more explanation or practice?

5 Related Questions:

1. What is the difference between a hollow circle and a solid circle on a graph?
2. How would the graph look for $m \leq -4$?
3. What inequality would represent shading to the right of $-4$?
4. How do you graph $m > 3$ on a number line?
5. Can you explain why $m \neq -4$ is not the same as $m < -4$?

Tip:

Always double-check the type of circle (hollow or solid) when interpreting inequalities on a number line.