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#14 arithmetic mean at+b 14. A relation R is defined on the set IR+ of positive real numbers by a R b if the ar

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arithmetic mean at+b 14. A relation R is defined on the set IR+ of positive real numbers by a R b if the ar (the average) of a and b equals the geometric mean of a and b, that is, if 2 (a) Prove that R is an equivalence relation. (b) Describe the distinct equivalence classes resulting from R. 15. Let S be a nonempty set and let P- (SI S a relation R on S hy a n

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