## College Algebra (6th Edition)

$\emptyset$
$3(x-8)-2(10-x)\gt 5(x-1)\qquad$ ... distribute $3x-24-20+2x\gt 5x-5\qquad$ ... simplify $5x-44\gt 5x-5\qquad$ ... add $44-5x$ to both sides $-44\gt-5$ This is not true for any real $x$. The solution set is the empty set, $\emptyset$.