https://file.aiquickdraw.com/mathbot/file/1728559885278p29sizx0.jpg

The number line in the image shows two open circles at \(4\) and \(7\), indicating that these points are not included in the interval, but the line is shaded between them, meaning all values between \(4\) and \(7\) are part of the solution.

Thus, the interval expressed in inequality notation is:

\[
4 < x < 7
\]

This notation shows that \(x\) is greater than \(4\) and less than \(7\), without including the endpoints.

Would you like further clarification or details?

Here are some related questions to expand your understanding:
1. How would the inequality notation change if one or both of the endpoints were closed (included)?
2. What is the interval notation for the same graph?
3. How can inequalities be used to represent real-world situations?
4. What does the solution look like if you graph \(4 \leq x \leq 7\)?
5. Can you describe how inequality symbols change for different intervals?

**Tip:** When using inequalities, open circles mean the values are not included (strict inequality), while closed circles mean the values are included (non-strict inequality).

Express the interval shown on the number line in inequality notation.

Learn how to express an interval using inequality notation from a number line diagram with open circles at x = 4 and x = 7. This exercise helps students practice interpreting and representing inequalities. Suitable for Grades 6-8.

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