https://file.aiquickdraw.com/mathbot/file/172547270853976nxzpgd.jpg

The graph shows a number line with two open circles, one at \(-7\) and another at \(7\). The line is shaded between these two points, indicating that the values of \(x\) are between \(-7\) and \(7\), but do not include \(-7\) and \(7\) themselves.

To express this range as an absolute value inequality:

\[
|x| < 7
\]

This inequality states that the distance of \(x\) from 0 is less than 7, which matches the shaded region on the graph between \(-7\) and \(7\) (excluding \(-7\) and \(7\) themselves).

Would you like more details or have any other questions?

Here are five related questions you might find interesting:
1. How would the inequality change if the circles were filled in at \(-7\) and \(7\)?
2. What would the inequality look like if the range was outside of \(-7\) and \(7\)?
3. Can you express this inequality as two separate inequalities without using absolute value?
4. How would you graph the inequality \( |x - 3| \leq 5 \) on a number line?
5. What is the general form of an absolute value inequality, and how do you interpret it on a graph?

**Tip:** When solving absolute value inequalities, always consider the two possible cases (positive and negative) that arise from the definition of absolute value.

Write an absolute value inequality for the graph below. Use x for your variable.

Learn how to write an absolute value inequality based on a graph with open circles at -7 and 7. This problem explains how to express the range of values using the inequality |x| < 7, covering key concepts in algebra for students in Grades 7-9.

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