To solve the inequality \(-2w < -18\), we can divide both sides by \(-2\). Remember, when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.
\[ -2w < -18 \]
Dividing by \(-2\):
\[ w > 9 \]
So, the solution to the inequality is \(w > 9\).
Among the options you listed, the correct answer is:
w > 9.