How do I prove #|x|-x!=0# ?

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Answer 1 · 2018-02-09T15:26:20

For #x>=0:#

#|x|-x=x-x=0# wrong

For x<0:

#|x|-x=-x-x=-2# rignt

Then #|x|−x≠0 AA x<0#

or #EE x: |x|−x=0#