Answer
$[2,6]$
Work Step by Step
$-2|x-4|\geq-4\qquad $ ... divide with $(-2)$
... $\times $(negative) $\Rightarrow $ change direction.
$|x-4|\leq 2$
... $|u| \leq c\ \ $ is equivalent to $-c \leq u \leq c.$
$-2\leq x-4\leq 2\qquad $ ... add 4 ...
$2\leq x\leq 6$
Borders are included.
The solution set is $[2,6].$
