Question
Solve the following for $x$, where $|x|$ is modulus function, $[x]$ is the greatest integer function, $\{x\}$ is a fractional part function.

$\{x\}>4$

Answer

$\{x\}>4$
This is a meaningless statement as $0 \leq\{\mathrm{X}\}<1$
$\therefore$ The solution set $=\{\}$ or $\Phi$

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