Question

A relation R in S = {1,2,3} is defined as R = {(1,1), (1,2), (2,2), (3,3)}.

Which element(s) of relation R to be removed to make R an equivalence

relation​

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

Given set A={1,2,3}

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

Clearly, the relation R is reflexive on A, as (x,x)∈R for all x∈A

Since, there are no ordered pairs of the form (x,y), so no need to check for symmetric and transitive.

Hence, the given relation is smallest equivalence relation on A.