(From the GRE Practice Exam)* Let p and q be distinct

Chapter 2, Problem 17E

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Problem 17E

(From the GRE Practice Exam)* Let p and q be distinct primes. Suppose that H is a proper subset of the integers that is a group under addition that contains exactly three elements of the set {p, p + q, pq, pq, qp}. Determine which of the following are the three elements in H.

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