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# Absolute Value

Absolute value is a mathematician's way of judging numbers by their magnitude rather than their positive/negative value. It is the distance of the number from 0 on a number line.

How many real numbers have an absolute value of 4?

\[\frac{\mid x \mid}{x} = ?\]

If \(-5 \leq x \leq 5,\) what value of \(x\) produces the greatest sum for this expression?

\(\mid 3 + x\mid + \mid x - 4 \mid\)

How much larger is \(\mid 10\mid\) than \(\mid -10 \mid ?\)

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