https://file.aiquickdraw.com/mathbot/file/1726663956648nyr258uu.jpg

The image you provided shows a number line representing an interval, which is a segment of the real number line. The segment appears to start at \(-1\) and ends at \(4\), and it includes these key characteristics:

- The line segment starts at \(-1\) and extends to \(4\).
- The bracket on \(4\) is square (closed interval), meaning that \(4\) is included in the interval.
- The parentheses at \(-1\) are rounded (open interval), indicating that \(-1\) is **not** included in the interval.

Based on this, the interval can be written in interval notation as:
\[
(-1, 4]
\]

This represents all numbers greater than \(-1\) and less than or equal to \(4\).

Would you like further explanation or have any questions? Here are five questions related to this concept:

1. How do you represent an open interval and a closed interval in set notation?
2. What is the difference between an open and a closed interval?
3. How would you graph the interval \([1, 5)\) on a number line?
4. Can a number line represent multiple intervals at once?
5. How can intervals be used to describe the solution sets of inequalities?

**Tip:** When solving inequalities, always pay attention to whether the boundary values are included (closed intervals) or excluded (open intervals).

The number line shows an interval from -1 to 4, with an open interval at -1 and a closed interval at 4. What is the interval notation?

Explore how to represent the interval (-1, 4] on a number line. Learn the difference between open and closed intervals and how to write interval notation. Suitable for Grades 6-8.

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