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Let R be the relation defined …

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Let R be the relation defined in set A = {1,2,3,4,5,6,7} by R = {(a,b) ,a,b€A and both a and b are either odd or even}. Show thatR is an equivalence relation. Further,show that all the elements of {1,3,5,7} are related to each other and also all the elements of {2,4,6}are related to each other but no element of {1,3,5,7}is related to{ 2,4,6}
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