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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions1 Mark
Question
Solve the following for $x$, where $|x|$ is modulus function, $[x]$ is the greatest integer function, $\{x\}$ is a fractional part function.

$\{x\}=0.5$

✓

Answer

$\{x\}=0.5$
$
\therefore x=\ldots . .,-2.5,-1.5,-0.5,0.5,1.5, \ldots .
$
$\therefore$ The solution set $=\{x: x=n+0.5, n \in Z\}$

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