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x/|x| < x... this inequality will only hold if x > -1 or x >1... x >1 means x >-1...
x*|x| = -x^2 or x*|x| = x^2... either way that inequality still holds cos x >-1... so you can square without compunction... the ans then becomes x > -1 though... so thank you for pointing that out... :s
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