Question

What is a relation? Is every relation a function? Explain critically. Also, explain equivalence relation with the help of example.

29 May 2025
Answer :
Word Count : 193
In discrete mathematics, a *relation* is a subset of the Cartesian product of two sets. If $A$ and $B$ are two sets, then a relation $R$ from $A$ to $B$ is a set of ordered pairs $(a, b)$, ___ ___ _________ __________ _________ ___ _________ __________ __________ __________ _______.
____ ______ _______ _______ _____ _______ ________ ________ ________ ___.
____ _____ ______ _________ __________ _______ __________ _________.
______ _______ ______ ______ ____ _________.
____ ________ _______ _________ _________ __________ ________ ___.
________ ___ ______ ____ ________ _________ _____ _______.
_______ ___ _______ ___ _____ _______ ______ _____ ______ _______.
_______ __________ ______ ______ ______ ______ ________ ________ ____ ____ __________ __________.
________ ______ _____ ________ _______.
_____ ________ ______ _____ _______ ________ _______ ____ __________ ____ ___ ___.
________ ____ _____ _________ _____ ____ __________.
______ ________ _________ ______ __________ ______ _____ _____.
__________ ______ ________ _________ _______ _______.
_____ ____ _____ _________ ___ _____ ________.
_________ ________ ___ ______ _______ ________ _______ ________ ______ _________ ___.
___ ___ __________ _________ ________ _______ ______ _________ __________.
___ _____ ________ ______ ____ ________ ____ ____ _____.
_______ __________ ______ ___ _______ __________ ____ ______.
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