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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.$2[2 x-5]-1=7$
✓

Answer

$2[2 x-5]-1=7$
$ \therefore[2 x-5]=\frac{7+1}{2}=4$
$\therefore[2 x]-5=4$
$\therefore[2 x]=9$
$\therefore 9 \leq 2 x<10$
$\therefore \frac{9}{2} \leq x<5$
$\therefore$ Solution set $=\left[\frac{9}{2}, 5\right)$

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