Are the following equivalence relations? x~y if x < y NO x~y if x <= y NO x~y if |x| = |y| YES x~y if x =/ y NO x~y if xy > 0 NO x~y if x|y or y|x YES What are the equivalence classes for the ones that are? Thanks!
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Originally Posted by jstarks44444 Are the following equivalence relations? x~y if x < y NO x~y if x <= y NO x~y if |x| = |y| YES x~y if x =/ y NO x~y if xy > 0 NO x~y if x|y or y|x YES What are the equivalence classes for the ones that are? Thanks! Do $\displaystyle x,y\in\mathbb{Z}\text{?}$
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