what could be the possible values of $x$ when, $[2 x] = [x]$

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Solution

Let's take an example
if $x = 0.2$
$\begin{matrix} [2 x] = [0.4] = 0 [x] = [0.2] = 0 \end{matrix}$
equal
if $x = 0.5$
$\begin{matrix} [2 x] = [1] = 1 [x] = [0.2] = 0 \end{matrix}$
not equal
So, $x$ lies between $0 \leq x < 0.5$
similarly,
for every integer range
$\begin{matrix} 1 < x < 1.5 2 < x < 2.5 | | | s o, o n \end{matrix}$

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