Let R denote the set of nonzero real numbers. Define a relation, R, on a set, A, as follows: XRy if and only if xy>0 a)

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Let R Denote The Set Of Nonzero Real Numbers Define A Relation R On A Set A As Follows Xry If And Only If Xy 0 A 1 (94.56 KiB) Viewed 13 times

Let R denote the set of nonzero real numbers. Define a relation, R, on a set, A, as follows: XRy if and only if xy>0 a) Suppose A= R'. Prove that R is a symmetric relation on A. This answer has not been graded yet! b) Suppose A= R Prove that R is a transitive relation on A. This answer has not been graded yet. I c) In part b) of problem 1 you also proved that R is reflexive on A= R'. Therefore, R is an equivalence relation on A. Find the equivalence classes of R.