1 1 vote closed with the note: Resolved $Let A = \{ 1,2,3\}\\ R = \{\{1,1\},\{2,2\},\{2,3\}\}$ Is the above relation neither reflexive nor irreflexive? Set Theory & Algebra discrete-mathematics set-theory&algebra relations + – Tuhin Dutta 895 views comment Share Follow Print See all 2 Comments 2 2 Comments reply Akash Mittal commented Dec 28, 2017 reply Follow flag yes. A={1,2,3} {(1,1)(2,2)(3,3)} its reflexive, for a set to be irreflexive any of the pair should not be present in the set. 1 1 replyShare Shubhanshu commented Dec 28, 2017 reply Follow flag Yes, the above relation is neither reflexive nor irreflexive. Not Reflexive:- because of (3,3) not present. Not Irreflexive:- because of (1,1) and (2,2) present. Reflexive Definition $(a,a)\in R : \forall a \in Set$ Irreflexive Definition $(a,a) \notin R : \forall a \in Set$. 4 4 replyShare Please log in or register to add a comment.
