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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.

$|x| \leq 3$

✓

Answer

$|x| \leq 3$ The solution set of $|x| \leq a$ is $-a \leq x \leq a$
$\therefore$ The required solution is $-3 \leq \mathrm{x} \leq 3$
$\therefore$ The solution set is $[-3,3]$

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