https://file.aiquickdraw.com/mathbot/file/1728908454490np2grvsw.jpg

The inequality shown in the image is:

\[
-3 < x \leq 4
\]

To write this in interval notation:

- At \(-3\), there is an open circle, indicating that \(-3\) is not included in the interval. So, we use a parenthesis \((\).
- At \(4\), there is a closed circle, indicating that \(4\) is included in the interval. So, we use a bracket \([ \).

Thus, the interval notation for this inequality is:

\[
(-3, 4]
\]

Would you like more details or have any other questions?

### 5 Related Questions:
1. What is the difference between an open and closed interval?
2. How do you express inequalities using number lines?
3. How do you convert inequalities into interval notation for both open and closed intervals?
4. What happens to interval notation if both endpoints are excluded or included?
5. Can you apply interval notation to compound inequalities?

### Tip:
Always pay attention to the type of circle (open or closed) on the number line when translating to interval notation; open circles mean parentheses, and closed circles mean brackets.

Fill in the blank to describe this inequality with interval notation: -3 < x ≤ 4

Learn how to represent the inequality -3 < x ≤ 4 in interval notation, using the number line for visual assistance. This problem introduces key concepts related to open and closed intervals, suitable for students in Grades 6-8.

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