Question
Solve the following for $x$, where $|x|$ is modulus function, $[x]$ is the greatest integer function, $\{x\}$ is a fractional part function.$-2<[\mathrm{x}] \leq 7$

Answer

$ -2<[\mathrm{x}] \leq 7$
$\therefore-2<\mathrm{x}<8$
$\therefore \text { Solution set }=(-2,8) $

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