$m a x {x - [x], - x + [x]}; [] = G r e a t e s t i n t e g e r f u n c t i o n .$

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Solution

$m a x {x - [x], - 1 + [x]} L e t x = 5 x - [x] = 5 - [5] = 0 - x + [x] = - 5 + [5] = 0$
$∴ x - [x]$ is maximum value.

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