4. \( \frac{2}{5}+\frac{2}{3}>1 \)

Let's break it down! First, let's find a common denominator for \( \frac{2}{5} \) and \( \frac{2}{3} \). The least common multiple of 5 and 3 is 15. Rewriting the fractions, we get \( \frac{6}{15} + \frac{10}{15} = \frac{16}{15} \). Whoa! Since \( \frac{16}{15} = 1.0666... \), you're absolutely right: \( \frac{2}{5} + \frac{2}{3} > 1 \)! Now, let's not forget that solving inequalities is like a game of checkmate! But make sure to avoid common pitfalls: when you multiply or divide by a negative number, you have to flip the inequality symbol. Remember that little twist, and you'll always come out on top!