1. **State the problem:** Pet Supply makes a profit of $5.50 per bag of natural dog food. They want to make a profit of no less than 5225. We need to find the minimum number of bags they must sell. 2. **Set up the inequality:** Let $x$ be the number of bags sold. The profit per bag is 5.50, so total profit is $5.50x$. The inequality is: $$5.50x \geq 5225$$ 3. **Solve the inequality:** Divide both sides by 5.50 to isolate $x$: $$\frac{\cancel{5.50}x}{\cancel{5.50}} \geq \frac{5225}{5.50}$$ $$x \geq 950$$ 4. **Interpretation:** Pet Supply needs to sell at least 950 bags to make a profit of no less than 5225. **Final answer:** $$\boxed{950}$$