2.5.3 What is wrong with the following proof? Explain why this error could be prevented by plan- ning out a proof before writing it. Theorem 2.40. If n ≥ 3 is

an integer, then n² > 2n + 1. Proof. Let n² > 2n + 1. Then 0 < n² - 2n − 1 = (n − 1)² -2, which is only true when n > 3. -