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The minimum number of elements that must be added to the relation R={(1,2),(2,3)} on the set {1,2,3} so that it is an equivalence relation

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a
3
b
5
c
6
d
7

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detailed solution

Correct option is D

By adding(1,1),(2,2),(3,3) so that R is reflexive

1,2,2,3R So  by adding (2,1),(3,2) R becomes symmetric 1,2,2,3R So add (1,3) to make R transitive since (1,3) is in R add (3,1) to make R symmetric

{(1,1),(2,2),(3,3),(2,1),(3,2),(1,3),(3,1)} 7 ordered pairs must be included so that R become an equivalance relation

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