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Let R be a relation defined on set A={1,...

Let R be a relation defined on set `A={1, 2, 3,4,5,6,7,8}` such that `R={(2,3)(4,5)(7,8)}`. If the domain of R is set B and range is set C then `BnnC` is

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Let R be the relation defined in the set A={1,2,3,4,5,6,7,8,9} by R={(a,b,):" both a and b are either odd or even"} . Show that R is an equivalence relation. Further show that all the lements of the subset {1,3,5,7,9} are related to one another and all the lement of the subset {2,4,6,8} are related to one another but no element of the subset {1,3,5,7,9} is related to any element of the subset {2,4,6,8} .

Let R be the relation defined on the set : A= {1, 2, 3, 4, 5,.6, 7} by: R ={(a, b) : a and bare either odd or even}. Show that R is an equivalence relation.