https://file.aiquickdraw.com/mathbot/file/1728428404133n2sfzr08.jpg

The graph shows a number line with a filled circle at 4 and an arrow extending to the right. This indicates that the solution set includes the number 4 and all numbers greater than 4.

To match this graph with an inequality:
- The filled circle at 4 means 4 is included in the solution (so it must be "greater than or equal to").
- The arrow to the right indicates that the numbers are greater than 4.

Therefore, the correct inequality that matches this graph is **A. \( 4 \leq x \)**.

Would you like further details or have any questions? Here are some related questions to explore:

1. How would the graph change if the inequality was \( 4 > x \)?
2. What does an open circle on a graph represent in an inequality?
3. How can you graph \( x \geq 5 \) on a number line?
4. How do you solve an inequality like \( 4 \leq x < 7 \)?
5. How can you verify the solution to an inequality graphically?

**Tip:** Always remember, a filled circle means the value is included (≥ or ≤), while an open circle means it is not included (> or <).

This problem helps students understand how to match inequalities with number line graphs. Learn how to read number lines with filled circles and arrows indicating greater or equal values. Suitable for Grades 6-8.

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