Answer
(-infinity, $-7/6)$ U $(12/7$, infinity)
Work Step by Step
$(6x+7) (7x-12)>0$
$6x+7>0$
$6x>-7$
$6x/6 > -7/6$
$x > -7/6$
$7x-12>0$
$7x>12$
$7x/7 > 12/7$
$x > 12/7$
(-infinity, $-7/6)$
$(-7/6, 12/7)$
$(12/7$, infinity)
Let $x=-2$, $x=0$, $x=2$
$x=-2$
$(6x+7) (7x-12)>0$
$(6*-2+7) (7*-2-12)>0$
$(-12+7)(-14-12)>0$
$-5*-26 >0$
$130 > 0$ (true)
$x=0$
$(6x+7) (7x-12)>0$
$(6*0+7) (7*0-12)>0$
$(0+7)(0-12)>0$
$7*-12>0$
$-84 >0$ (false)
$x=2$
$(6x+7) (7x-12)>0$
$(6*2+7) (7*2-12)>0$
$(12+7)(14-12)>0$
$19*2>0$
$38 > 0$ (true)
