1. **State the problem:** Solve the inequality $$16 \leq 2.9 - b$$ 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 2.9 from both sides:** $$16 - 2.9 \leq 2.9 - b - 2.9$$ $$13.1 \leq -b$$ 4. **Multiply both sides by $-1$ to solve for $b$:** Remember, multiplying or dividing an inequality by a negative number reverses the inequality sign. $$-1 \times 13.1 \geq -1 \times (-b)$$ $$-13.1 \geq b$$ 5. **Rewrite the inequality:** $$b \leq -13.1$$ **Final answer:** $$b \leq -13.1$$