Exercise 1. A student is having some difficulty proving the following theorem: Theorem. For all prime p and q, if plq, then p = q. The student provides the following argument. Negation: 3 primes p and q such that p/q and p‡q. Proof. Suppose that there exist primes p and q such that plq and p‡ q. Let p = 3 and let q = 5. Observe that p and q are prime numbers. But plq and pq. Therefore, the negatio is false. Thus, we have proven our theorem.■. (a) What method of proof is the student attempting? (b) What must the student show in order to prove the negation to be false? (c) The student's proof attempt is severely flawed. Explain why he cannot use a specific example to prove that the negation is false.

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