I am confused about the concept. There are two solutions. I do not know which one makes sense. Please with explanation. Is it correct if I I under in this way：For equivalence relation，when checking three rules，does all elements should satisfy these, for example, the only way that x>=y and y>=x is they are equal,since x and y arr in R, they might not be equal, like when x=1 , y=0,the symmetric rule does not holds. When we check when a certain rule holds , does it hold if one case (x=y) can satisfy or it only holds only when for all random x and y which satisfy x >=y. Please also explains the partition in this situation, I do not know this concept well, what does it mean “ the partition arousing from each equivalence relations” Step-by-step solutionStep 1 of 1An equivalence relation R on a set S is one that satisfies these three properties forx, y,ze S.1. (Reflexive) xRx.2. (Symmetric). If xRy, then yRx.3. (Transitive). If xRy and yRz, then xRz.Note that 120, and 021. So, in the relation, xRy in R if x2y, one is related to zero, butzero is not related to one; that is, the symmetry check fails. Therefore, the relation, xRy in R ifx> y, is not an equivalence relation.CommentWas this solution helpful?MacBook Pro->Search or type URL@#3¥ $234 Q30: Detelmie wheth a the given Yekation is cn equéralene belatin 2n theDescribe thepartition arising tom Pad equivdence relation.re flative: xRY.インィの微记SYOmetric : xRY YR X.→y>xのTewsitie: YRy, ソRマー→ オーイラ Ond yフヌ→ の

Answered: Image /qna-images/answer/23d38c4a-ec40-4cb6-94c5-9945e80b7915.jpg

Answered: Step 1 of 1 A An equivalence relation R…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

I am confused about the concept. There are two solutions. I do not know which one makes sense. Please with explanation. Is it correct if I I under in this way：For equivalence relation，when checking three rules，does all elements should satisfy these, for example, the only way that x>=y and y>=x is they are equal,since x and y arr in R, they might not be equal, like when x=1 , y=0,the symmetric rule does not holds. When we check when a certain rule holds , does it hold if one case (x=y) can satisfy or it only holds only when for all random x and y which satisfy x >=y. Please also explains the partition in this situation, I do not know this concept well, what does it mean “ the partition arousing from each equivalence relations”