c. \( \frac{x}{4} \leq \frac{5}{2} \)

To solve the inequality \( \frac{x}{4} \leq \frac{5}{2} \), start by multiplying both sides by 4 to eliminate the fraction. This gives you \( x \leq 10 \). Remember, when you multiply or divide by a negative number, you must flip the inequality sign, but that's not applicable here since we are multiplying by a positive number! Now, let’s put this into a real-world context. Imagine you’re planning a party and you need to keep the guest count under a specific limit. If each table at your venue seats 4 people, and you can have a maximum of 5 tables (which gives you 20 seats), by ensuring you invite 10 or fewer people, you’ll have room for everyone to be comfortable! A common mistake people make when dealing with inequalities is forgetting to apply the rules for multiplication or division correctly, especially when negative numbers are involved. Double-check your calculations and remember to flip the sign only when working with negatives. It might seem trivial, but getting that right is crucial to reaching the correct solution!