1. **State the problem:** Peter needs to bake more than 336 loaves of bread for a festival. His bakery produces 28 loaves per hour. We want to find the inequality representing the time $x$ (in hours) he needs to prepare. 2. **Write the inequality:** Since Peter must bake more than 336 loaves, and he bakes 28 loaves per hour, the total loaves baked after $x$ hours is $28x$. The inequality is: $$28x > 336$$ 3. **Solve the inequality:** Divide both sides by 28 to isolate $x$: $$\cancel{28}x > \cancel{28} \times 12$$ which simplifies to: $$x > 12$$ 4. **Interpretation:** Peter needs to work for more than 12 hours to bake more than 336 loaves. 5. **Note on the graph:** The graph shows $x \geq 12$ with a solid circle at 12 and shading to the right, indicating at least 12 hours. However, the strict inequality from the problem is $x > 12$ (more than 12 hours). If the problem allows 12 hours exactly, then $x \geq 12$ would be correct. **Final inequality:** $$x > 12$$