https://file.aiquickdraw.com/mathbot/file/1726112262243edrreje7.jpg

The inequality provided in the image is a compound inequality: 

\[
x > 79 \text{ and } x < 82
\]

This means that \(x\) lies between 79 and 82, but does not include either endpoint.

To represent this on a number line:
- You would place open circles (since the inequality is strict, using \(>\) and \(<\) rather than \( \geq \) or \( \leq \)) at both 79 and 82.
- Then, shade the region between 79 and 82, indicating that \(x\) can take any value between them but not equal to 79 or 82.

To graph it on the number line:
- Place an open circle at 79.
- Place another open circle at 82.
- Draw a line segment between 79 and 82.

This visually represents the solution set: all numbers between 79 and 82 but excluding 79 and 82 themselves.

Would you like more details on inequalities or any other related topic? Here are 5 related questions for further exploration:

1. What is the difference between strict and non-strict inequalities?
2. How would the graph change if the inequality were \(x \geq 79 \text{ and } x \leq

Graph the compound inequality x > 79 and x < 82.

Learn how to graph the compound inequality x > 79 and x < 82 on a number line. This example shows how to represent strict inequalities using open circles and shading the region between the numbers, suitable for students in Grades 6-8.

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