https://file.aiquickdraw.com/mathbot/file/1728099733686zz8b6rn5.jpg

The graph shows a highlighted section between \( x = 2 \) and \( x = 3 \), inclusive on both endpoints. This is represented by the solid dots at both 2 and 3, indicating that these points are included in the solution set.

From this, the correct set notation should include both \( x = 2 \) and \( x = 3 \) as boundaries with \( \leq \) and \( \geq \). 

Thus, the correct choice is:  
\[ \{ x \mid 2 \leq x \leq 3 \} \]

This set means that \( x \) is greater than or equal to 2, and less than or equal to 3.

Would you like further details or explanations?

Here are 5 questions related to this topic:
1. What does it mean when a dot is solid on a number line?
2. How do we represent an open interval on a graph?
3. Can you explain the difference between "and" and "or" in set notation?
4. How do we convert set notation to interval notation?
5. What kind of inequality would describe a union of two intervals?

**Tip:** Solid dots on a number line mean that the endpoints are included in the interval (using \( \leq \) or \( \geq \)).

Learn how to represent intervals on a number line using set notation. This example focuses on describing a graph where the values are between 2 and 3, inclusive. Perfect for students in grades 6-8 studying inequalities and set theory.

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