Let S = {a, b, c, d} be a set of four distinct integers. Prove that if either (1) for

Chapter 3, Problem 3.58

(choose chapter or problem)

Let S = {a, b, c, d} be a set of four distinct integers. Prove that if either (1) for each x S, the integer xand the sum of any two of the remaining three integers of S are of the same parity or (2) for each x S,the integer x and the sum of any two of the remaining three integers of S are of opposite parity, then everypair of integers of S is of the same parity.

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