1. **State the problem:** Let $p$ be the kilograms of cheese produced. Yoghurt produced is $24$ kg more than cheese, so yoghurt = $p + 24$. Ice cream produced is 3 times as much as cheese, so ice cream = $3p$. The farm produced more kilograms of ice cream than yoghurt, so we write the inequality: $$3p > p + 24$$ 2. **Solve the inequality:** Subtract $p$ from both sides: $$3p - \cancel{p} > \cancel{p} + 24 - p$$ which simplifies to: $$2p > 24$$ 3. **Divide both sides by 2:** $$\frac{2p}{\cancel{2}} > \frac{24}{\cancel{2}}$$ which simplifies to: $$p > 12$$ 4. **Interpretation:** The farm must produce more than 12 kg of cheese for the ice cream production to be greater than the yoghurt production. **Final answer:** $$p > 12$$