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

"R" is not an equivalnce relation, because "A" - domain of "R" not equals "B" - range of "R".


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