The relation `R={(1,\ 1),\ (2,\ 2),\ (3,\ 3)}` on the set {1, 2, 3} is (a) symmetric only (b) reflexive only (c) an equivalence relation (d) transitive only

Answer

c)an equivalence relation

Explanation

Given Relation



`R={(1,1),(2,2),(3,3)}`



Reflexive: If a relation has` {(a, b)} `as its element

then it should also have` {(a, a),(b, b)} `as its elements too.


Symmetric: If a relation has` (a, b)` as its element

then it should also have `{(b, a)} `as its element too.


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