Page 1 of 1
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)
Posted: Wed May 11, 2022 10:52 pm
by answerhappygod
- 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 15 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.