Answer
$m\leq-3$
Work Step by Step
$15\leq5-2(4m+7)$
$15\leq5-8m-14$
Add 14 to each side $15+14\leq5-8m-14+14$
$29\leq5-8m$
Subtract 5 from both sides: $29-5\leq5-5-8m$
Simplfy: $24\leq-8m$
Divide both sides by -8 (reverse both sides): $\frac{24}{-8}\leq\frac{-8m}{-8}$
Simplify: $-3\geq m$
Let's check:
let m=-6
$15≤5−2(4(-6)+7)$
$15\leq39$
Statement is true
