Answer to Question #117144 in Discrete Mathematics for Priya

Question #117144
Let R be the relation from A={2,3,4,5} to B={3,6,7,10} defined by ‘x divides y’,
(a) thenR^(-1) is equal to:
(b) Is R an equivalence relation?
1
Expert's answer
2020-06-08T20:50:09-0400

We have R={(2,6),(2,10),(3,3),(3,6),(5,10)}R=\{(2,6),(2,10),(3,3),(3,6),(5,10)\}, then R1={(6,2),(10,2),(3,3),(6,3),(10,5)}R^{-1}=\{(6,2),(10,2),(3,3),(6,3),(10,5)\}.

RR is not an equivalnce relation, because AA - domain of RR not equals BB - range of RR.


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