https://file.aiquickdraw.com/mathbot/file/1728183917711vcr9ofyj.jpg

The image shows a number line with a graph, and the task is to write a compound inequality based on that graph. The graph consists of two filled-in points at \( x = -4 \) and \( x = 6 \), with a solid line connecting them. This represents the interval between these two points.

Since the dots at \( x = -4 \) and \( x = 6 \) are filled, it indicates that the values at \( -4 \) and \( 6 \) are included, meaning the inequality should involve "less than or equal to" symbols (≤).

### The compound inequality is:
\[
-4 \leq x \leq 6
\]

This means that \( x \) is greater than or equal to \( -4 \), and less than or equal to \( 6 \).

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### Related questions:
1. How do you solve inequalities involving absolute values?
2. What is the difference between strict inequalities and inclusive inequalities?
3. How do you graph inequalities on a number line?
4. How do compound inequalities relate to systems of inequalities?
5. How can inequalities be used in real-world problem-solving?

### Tip:
When solving compound inequalities, it's important to treat each part of the inequality separately before combining them into one statement.

Write a compound inequality for the graph shown. Use x for your variable.

Learn how to write a compound inequality based on a number line graph. This algebraic concept focuses on representing inequalities involving intervals, helping students understand the connection between visual and algebraic forms. Suitable for students in Grades 6-8.

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