#### Answer

$(-\infty,-4) \cup (1, \infty)$

#### Work Step by Step

$(x+4)(x-1)\gt0$
$(x+4)(x-1) =0$ Solve as an equation.
$x=-4$
$x=1$
Plot these numbers on a number line,split them into intervals, take one test point from each interval, and check them to see if they are true. If they are true, then it is a solution.
In this case, it is
$(-\infty,-4) \cup (1, \infty)$