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0. Consider the following relations :R1 (a, b) iff (a + b) is even over the set of integersR2 (a, b) iff (a + b) is odd over the set of integers.R3 (a, b) ifa.b > 0 over the set of non zero rational numbers.R4 (a, b) if I a - b I < = 2 over the set of natural numbers. Which of the following statements is correct ?
R1 and R2 are equivalence relations, R3 and R4 are not
R1 and R3 are equivalence relations, R2 and R4 are not
R1 and R4 are equivalence relations, R2 and R3 are not
R1, R2, R3 and R4 are all equivalence relations
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