Write a compound inequality that is represented by the graph.

A number line extended from 5 to 15. The number line is shaded between an open circle at 7 and an open circle at 14.

The graph shows shading between the numbers 7 and 14, with open circles at both 7 and 14. This indicates that the inequality does not include 7 or 14, but includes all numbers between them.

The compound inequality is:

\[
7 < x < 14
\]

This means \(x\) is greater than 7 and less than 14.

Would you like more details or have any other questions?

Here are 5 related questions:
1. How would the inequality change if there were closed circles at 7 and 14?
2. Can you graph the inequality \(5 \leq x \leq 10\) on a number line?
3. What is the solution to the compound inequality \(3 < x \leq 9\)?
4. How would you express the inequality if the graph was shaded outside 7 and 14 instead?
5. How do you solve a system of compound inequalities?

**Tip:** Always pay attention to whether circles on a number line are open (indicating strict inequalities) or closed (indicating inclusive inequalities).

Write a compound inequality that is represented by the graph. A number line extended from 5 to 15. The number line is shaded between an open circle at 7 and an open circle at 14.

Understand how to write and interpret compound inequalities based on a number line with open circles. This problem involves shading between two points on the number line, excluding the boundary values, and is suitable for students in Grades 6-8.

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