Q. 243.8( 4 Votes )

Write the smalles

Answer :

A relation is an equivalence relation if and only if it is reflexive, symmetric and transitive:


The smallest equivalence relation on the set A={1,2,3} is :


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


(1,1) R Reflexive


(1,3) R and (3,1) R Symmetric


(1,3) R and (3,1) R and (1,1) R Transitive


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