Set, Relation and FunctionHard

Question

Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12} be a relation on the set A = {3, 6, 9, 12}. The relation is

Options

A.reflexive and transitive only
B.reflexive only
C.an equivalence relation
D.reflexive and symmetric only

Solution

Reflexive and transitive only.
e.g.     (3, 3), (6, 6), (9, 9), (12, 12)     [Reflexive]
            (3, 6), (6, 12), (3, 12)      [Transitive].

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