Answer
$8 \lt x \lt 10$
Work Step by Step
$-2x\lt-8 $ and $x-5\lt5$ First we solve each inequality separately. $-2x\lt-8 $ and $x-5\lt5$ divide the first inequality by -2, and reverse the inequality symbols $x\gt8 $ and $x\lt10$ the intersection of them is $8 \lt x \lt 10$