https://file.aiquickdraw.com/mathbot/file/1726367288465m08mdpp4.jpg

Here is the number line representing the solution set for \(|x| \neq 5\):

- All points on the number line are included except for \(x = 5\) and \(x = -5\), which are excluded (shown with open red circles).

Would you like further details or explanations? Here are a few related questions:

1. How would the solution change if the inequality was \(|x| \leq 5\)?
2. What does the expression \(|x| = 5\) represent geometrically?
3. How do absolute value inequalities differ from standard inequalities?
4. Can you explain how to solve \(|x| \neq a\) for a general value \(a\)?
5. How can this concept be applied to real-world scenarios involving distances?

**Tip**: When dealing with absolute value inequalities, it's often useful to visualize them on a number line to understand the range of possible solutions.

Show the solution set on a number line for |x| ≠ 5.

Learn how to represent the solution set for |x| ≠ 5 on a number line. This problem explores the concept of absolute value inequalities and visual representation using open circles. Suitable for students in Grades 8-10.

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