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Absolute Values

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I know that the two bars | | around the expression 2-x and x-2 stand for 'absolute value'.

But how does using | | differ from using simple brackets such as: ( ) or [ ] ?

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Absolute value is discussed in the solution.

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By definition, |x|=x if x is non-negative, |x|=-x if x<0.
For example, |2|=2, |0|=0, |-2|=2.
In particular, |x|=0 if and ...

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