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For a, b ∈ Z define a | b to mean that a divides b is a relation which does not satisfy ___________(a) irreflexive and symmetric relation(b) reflexive relation and symmetric relation(c) transitive relation(d) symmetric relationI had been asked this question in homework.This intriguing question comes from Relations in section Relations of Discrete Mathematics

Answer»

The correct choice is (b) reflexive RELATION and symmetric relation

Explanation: Suppose, a=0, then we know that 0 does not divide 0, 0 ∤ 0 and it is not reflexive. Again, 2 | 4 but 4 does not 2 and so it is not a symmetric relation.



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