Question

$|x-1|+|x-2|+|x-3| \leq 6$
the range of x is ___

Answer 1

$|x-1+x-2+x-3| \leq |x-1|+|x-2|+|x-3| \leq 6$
$|3x-6|\leq |x-1|+|x-2|+|x-3| \leq 6$
$|3x-6| \leq 6$
$-6 \leq 3x-6 \leq 6 \\ 0 \leq x \leq 4$
is the range