https://file.aiquickdraw.com/mathbot/file/1727391629979569lgu1f.jpg

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."

Select the inequality from the graph below.

Learn how to read and interpret inequalities from a number line graph. In this example, the inequality is represented as x ≤ -1. The solution covers core concepts of inequalities and number line interpretation, suitable for middle school students (Grades 6-8).

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