AMC 12 2018b Problem 5

How many subsets of $\{2,3,4,5,6,7,8,9\}$ contain at least one prime number?

$\textbf{(A) } 128 \textbf{(B) } 192 \textbf{(C) } 224 \textbf{(D) } 240 \textbf{(E) } 256$