1. **State the problem:** Solve the inequality $$3 > \frac{11 - 5w}{9}$$ for $w$. 2. **Understand the inequality:** We want to isolate $w$ on one side. Since $w$ is inside a fraction, we will first eliminate the denominator. 3. **Multiply both sides by 9:** $$3 \times 9 > \frac{11 - 5w}{\cancel{9}} \times \cancel{9}$$ $$27 > 11 - 5w$$ 4. **Isolate the term with $w$:** Subtract 11 from both sides: $$27 - 11 > 11 - 5w - 11$$ $$16 > -5w$$ 5. **Divide both sides by -5:** Remember, dividing by a negative number reverses the inequality sign. $$\frac{16}{\cancel{-5}} \times \frac{1}{\cancel{-1}} < \frac{-5w}{-5}$$ $$-\frac{16}{5} < w$$ 6. **Rewrite the solution:** $$w > -\frac{16}{5}$$ **Final answer:** $$w > -\frac{16}{5}$$