What is equivalence relation? Explain use of equivalence relation with the help of an example.

An equivalence relation in discrete mathematics is a binary relation that satisfies three fundamental properties: reflexivity, symmetry, and transitivity. A relation RR on a set AA is called an equivalence relation if for all a,b,c∈Aa, b, c \in A, the _______ ___ ___ _____ _____ ________ ______ __________ _________ ________ ______ ___.
________ ____ _________ _____ _____ _________.
_____ _____ ____ __________ ______ ____ ________ ____.
__________ _____ __________ ___ ________ _________ ________ __________ ___ __________ ______ __________.
______ ____ _______ _______ ___ ______ _________ ________.
_________ _________ _________ ____ ______ __________ _______ _____ _______ _______.
_______ __________ _________ ________ _________ ______ ________ ____ ___ _____ ______.
________ ______ ______ ______ ____ __________.
_________ ______ ______ ______ ____ ________ ________ _____ ____ ______ ______ ____.
___ ___ _______ _____ ________ ___.
_________ ____ ___ _______ ____ _________.
__________ ___ _________ ___ ___ ____ ____ _________ _________ ___ ___ __________.
_______ ________ ___ _______ _________ ____ _______ ________ ____.
_________ __________ ____ ___ _________ _________ _________ _____ ________ _____ _________ ____.
________ _____ _____ _____ ___ _______ ________.
________ ___ ________ _______ _______ _______ ____ _______ ______.
____ ___ __________ ___ _________ ___ ______ ______ __________ ___.
___ _______ _____ ______ ___ ____ _________ _______.
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