Answer
$x\lt\frac{1}{3},x\gt5$
Work Step by Step
Solve for the original inequality, and then flip the sign and make the opposite side negative in the second inequality.
$3x-8\gt7$
$3x\gt15$
$x\gt5$
$3x-8\lt-7$
$3x\lt1$
$x\lt\frac{1}{3}$
$x\lt\frac{1}{3},x\gt5$