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If it had a sign it wouldn't be an absolute value, which is neither positive nor negative, merely absolute.

Note that the absolute value of a number is non-negative by definition.

For x < 0, |x| = -x (which is positive)

For x ≥ 0, |x| = x (which is never negative)

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Q: Why is a absolute value of a number never negative?
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Explain why the absolute value of a number is never a negative number?

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