The number line in the image shows an inequality that includes all values to the left of -1, including -1 itself. The red circle at -1 is filled in, indicating that -1 is included in the solution set (meaning the inequality is less than or equal to -1). The arrow extends to the left, representing values smaller than -1.

The correct inequality that matches this graph is:

a. $x \leq -1$

Let me know if you'd like any more details!

Here are 5 related questions for practice:

1. How would the graph change if the inequality was $x < -1$?
2. What does an open circle at a point on a number line indicate in inequalities?
3. How would the inequality change if the arrow extended to the right instead of the left?
4. How can we express the inequality $x \leq -1$ using interval notation?
5. What would the inequality look like if the circle at -1 were open?

Tip: A filled circle in an inequality graph indicates that the number at that point is included, corresponding to "less than or equal to" or "greater than or equal to."