Question

9. Define R the binary relation on N x N to mean (a, b)R(c, d) iff b|d and alc (a) R is symmetric but not reflexive. (b) R is transitive and symmetric but not reflexive (c) R is reflexive and transitive but not symmetric (d) None of the above 10. Let R be an equivalence relation on a nonempty and finite

Answer 1

Answer

(c) R is reflexive and transitive but not symmetric

Explanation

Reflexive: For every element a in set, (a, a) must be in relation

Every element is divided by itself

Symmetric: If (a, b) is in relation, then should be (b, a)

Let's take an example (2, 3) R (6, 9) but not (6, 9) R (2, 3)

Transitive: If (a, b) and (b, c) is in the relation then should be (a, c)

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