Question: If you do not prove your construction is correct, you do not get full credit. Give a recursive definition of each of these sets of

 If you do not prove your construction is correct, you do

If you do not prove your construction is correct, you do not get full credit.

Give a recursive definition of each of these sets of ordered pairs of positive integers. S = {(a, b) | a elementof Z^+, b elementof Z^+, and 3|a + b} Also, prove that your construction is correct. (That is, show that your set is a subset of S, and that S is a subset of your set.)

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