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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