1. **State the problem:** Solve the inequality $5(2h + 8) < 60$. 2. **Use the distributive property:** Multiply 5 by each term inside the parentheses. $$5 \times 2h + 5 \times 8 < 60$$ which simplifies to $$10h + 40 < 60$$ 3. **Isolate the variable term:** Subtract 40 from both sides. $$10h + \cancel{40} - \cancel{40} < 60 - 40$$ which simplifies to $$10h < 20$$ 4. **Solve for $h$:** Divide both sides by 10. $$\frac{10h}{\cancel{10}} < \frac{20}{\cancel{10}}$$ which simplifies to $$h < 2$$ 5. **Final answer:** The solution to the inequality is $$h < 2$$ This means $h$ can be any number less than 2.