Answer
$(-9, -4)$
Work Step by Step
$(x-1)/(x+4) > 2$
Denominator is zero when $x=-4$
$(x-1)/(x+4) > 2$
$(x-1)/(x+4) = 2$
$(x-1)*(x+4)/(x+4) = 2*(x+4)$
$x-1=2x+8$
$x=2x+9$
$-x=9$
$x=-9$
(-infinity, $-9)$
$(-9, -4)$
$(-4$, infinity)
Let $x=-10$, $x=-5$, $x=0$
$x=-10$
$(x-1)/(x+4) > 2$
$(-10-1)/(-10+4) > 2$
$-11/-6 > 2$
$11/6 > 2$ (false)
$x=-5$
$(x-1)/(x+4) > 2$
$(-5-1)/(-5+4) > 2$
$-6/-1 > 2$
$6 > 2$ (true)
$x=0$
$(x-1)/(x+4) > 2$
$(0-1)/(0+4) > 2$
$-1/4 > 2$ (false)
