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 <).