To solve the inequality \( 16w \geq 15w - 8 \), we can start by isolating \( w \).
- Subtract \( 15w \) from both sides:
\[ 16w - 15w \geq -8 \]
This simplifies to:
\[ w \geq -8 \]
Thus, the solution to the inequality is:
\[ w \geq -8 \]
So, the correct answer is:
B. \( w \geq -8 \).