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Let $f : A \rightarrow B$ be a given function. A relation R in the set A is given by $R = {(a,b) \varepsilon A \times A : f(a) = f(b)}.$ Check, if R is an equivalence relation.

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f(a)=f(a) ,reflexive f(a)=f(b) »» f(b)=f(a) ,symmetry f(a)=f(b) and f(b)=f(c) »» f(a)=f(c) transitivity Reflexive
answered Jan 24 by nimmisivapuri.d5

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