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Denis Ogurtsov2018-06-25 21:02:29
Discrete Math
Denis Ogurtsov, 2018-06-25 21:02:29

Is the relation symmetric and non-reflective of the problem?

I solve exercises from the book https://www.ozon.ru/context/detail/id/1507203/ (Discrete Mathematics and Combinatorics James Anderson)
Here is the problem: A={a,b,c,d,e} Describe the relation on A , which is symmetric and transitive, but not reflexive. (p. 99)
Answer: {(a,a), (b,b),(c,c),(d,d)} (p. 867)
But why? Said, is not reflexive and where to do (e, e)?
I read that there are errors in the book, but is it a mistake or not?

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AVKor, 2018-09-22
@AVKor

I read that there are errors in the book, but is it a mistake or not?

No.
Although the wording of the problem is sloppy. This is assuming that a, b, c, d, e are pairwise distinct (or at least e is not equal to any other element of A).

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