Let R1 and R2 be the “congruent modulo 3” and the

Chapter 12, Problem 41E

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Problem 41E

Let R1 and R2 be the “congruent modulo 3” and the “congruent modulo 4” relations, respectively, on the set of integers. That is, R1 = {(a, b) | a ≡ b (mod 3)} and R2 = {(a, b) | a ≡ b (mod 4)}. Find

a) R1  R2.

b) R1  R2.

c) R1 – R2.

d) R2 – R1.

e) R1 ⊕ R2.

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