#### Answer

$w \gt 6$

#### Work Step by Step

Distribute -2 to get
$\\\\-2w-8+9 \lt -11
\\\\-2w+1 \lt -11$.
$\\\\\\$Subtract 1 from both sides to get
$\\\\-2w \lt -12$.
$\\\\\\$Divide both sides by -2 (note that this will flip the inequality symbol) to get
$\\\\w \gt 6$.