The positive part of an a R is defined by and the negative part by a)

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The positive part of an a ˆˆ R is defined by
The positive part of an a ˆˆ R is defined

and the negative part by

The positive part of an a ˆˆ R is defined

a) Prove that a = a+ - a- and |a| = a+ + a-.
b) Prove that

The positive part of an a ˆˆ R is defined
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