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The graph shows a number line where the values start at 2 and continue to the right, including values greater than 2. The point at 2 is filled, indicating that the set includes the number 2. This suggests the inequality should include "greater than or equal to 2."

Thus, the set that describes the graph is: 

\[
\{x \mid x \geq 2\}
\]

This matches the first option, \(\{x \mid x \geq 2\}\).

Would you like further details or have any questions?

Here are some related questions for further practice:
1. What would the graph of \( \{x \mid x > 2\} \) look like?
2. How does the graph of \( \{x \mid x < 2\} \) differ from this one?
3. Can you represent the set \( \{x \mid x \geq 3\} \) on a number line?
4. What does an open circle on a number line indicate about the inequality?
5. How would the graph change if the set was \( \{x \mid x \leq 2\} \)?

**Tip:** When analyzing inequalities on number lines, a filled-in circle means the number is included (≥ or ≤), while an open circle means it is not (strict inequalities > or <).

Which set describes the graph? {x | x ≥ 2}, {x | x > 2}, {x | x < 2}, or {x | x = 2}

Learn how to describe sets on a number line using inequalities and set notation. This problem demonstrates how to interpret a graph that includes values greater than or equal to 2. Suitable for students in Grades 6-8.

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