Mathematics

Mathematics

Problem

Which of the following statements correctly describes a symmetric relation on a non-empty set AA? a) For every a∈Aa\in A, (a,a)∈R(a,a)\in R. b) For all a,b∈Aa,b\in A, exactly one of (a,b)(a,b) or (b,a)(b,a) belongs to RR. c) For all a,b∈Aa,b\in A, if (a,b)∈R(a,b)\in R then (b,a)∈R(b,a)\in R. d) For all a,b∈Aa,b\in A, (a,b)∈R  or  (b,a)∈R(a,b)\in R\;\text{or}\;(b,a)\in R.

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