https://file.aiquickdraw.com/mathbot/file/1729033764940qn307pie.jpg

Let's analyze each number line shown in the image and write down the corresponding intervals:

### For the first question:
- The number line starts at \(-3\) (open circle) and goes to \(2\) (open circle), meaning that neither \(-3\) nor \(2\) are included in the interval.
- Thus, the interval can be written as: 
  \[
  (-3, 2)
  \]

### For the second question:
- The number line includes values starting from \(-6\) (open circle) and extends to \(4\) (closed circle), with arrows indicating that the range continues to \(+\infty\).
- Since \(-6\) is not included, and \(4\) is included, the interval is:
  \[
  (-6, 4]
  \]

Would you like further details on interval notation or have any questions?

### Related Questions:
1. How do you represent an interval with both endpoints included?
2. What does an open circle on a number line signify?
3. How do you write an interval that extends to infinity?
4. What is the difference between a closed and an open interval?
5. How do you convert a compound inequality into interval notation?

### Tip:
In interval notation, use square brackets \([ \ ]\) to include an endpoint and parentheses \(( \ )) to exclude an endpoint.

Write an interval to describe the set of values shown on the number line.

Learn how to write interval notation based on the number line with open and closed circles. The problem involves identifying intervals such as (-3, 2) and (-6, 4], focusing on the representation of included and excluded values.

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