If |x| = -4, what are the possible
values of x?

If \(|x| = -4\), there are **no possible values** for \(x\). 

This is because the absolute value of any number is always non-negative (i.e., zero or positive). Therefore, it is impossible for the absolute value of \(x\) to be equal to a negative number like \(-4\).

Would you like to explore more about absolute values, or do you have any other questions?

Here are 5 related questions to consider:
1. What is the solution set for \(|x| = 0\)?
2. How would you solve \(|x| = 3.5\)?
3. What are the properties of absolute value functions?
4. How do you graph the inequality \(|x| \geq 2\)?
5. Can the equation \(|x + 2| = -1\) have any solution?

**Tip:** If you see an equation like \(|x| =\) negative number, you can immediately conclude that there's no solution.

Explore absolute value equations with a focus on understanding the concept and solving problems. Learn why an equation like |x| = -4 has no solutions due to the non-negative nature of absolute values. Suitable for high school students and those preparing for standardized tests.

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