#### Answer

$|x|\gt4$

#### Work Step by Step

Since for any $c\gt0$, $|x|\gt c$ implies $x\gt c \text{ or } x\lt-c$ (which is equivalent to $|x|\ge c$ implies $x\ge c \text{ or } x\le-c$), the given inequality, $
x\lt-4 \text{ or } 4\lt x
,$ is equivalent to $
|x|\gt4
.$