1. **State the problem:** Solve the inequality $$\frac{x}{-9} \geq 3$$ for $x$ and simplify the answer. 2. **Recall the rule for inequalities:** When multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be reversed. 3. **Multiply both sides by $-9$ to isolate $x$: $$x \geq 3 \times (-9)$$** 4. **Apply the multiplication:** $$x \geq -27$$ 5. **Reverse the inequality sign because we multiplied by a negative number:** $$x \leq -27$$ 6. **Final answer:** $$x \leq -27$$