1. **State the problem:** Solve the inequality $$99 - b < 8$$ for $b$. 2. **Isolate the variable $b$:** To solve for $b$, we want to get $b$ alone on one side of the inequality. 3. **Subtract 99 from both sides:** $$99 - b < 8$$ $$\cancel{99} - b - \cancel{99} < 8 - 99$$ $$-b < -91$$ 4. **Divide both sides by $-1$ to solve for $b$:** Remember, dividing or multiplying an inequality by a negative number reverses the inequality sign. $$\frac{-b}{-1} > \frac{-91}{-1}$$ $$b > 91$$ 5. **Final answer:** The solution to the inequality is $$b > 91$$ This means $b$ must be greater than 91 to satisfy the inequality.