1 votes 1 votes R={ (x,y) | x is brother of y } Is this relation Transitive? Priyanka17 asked Oct 9, 2018 Priyanka17 995 views answer comment Share Follow See all 12 Comments See all 12 12 Comments reply Show 9 previous comments Priyanka17 commented Oct 9, 2018 reply Follow Share "But according to property, if (x,y) & (y,z) then (x,z)" this is the property But m considering z as x now apply the property and property doesn't say if x once used cannot be used again if this was so then equivalence relations would not exist 0 votes 0 votes daksirp commented Oct 9, 2018 reply Follow Share if x is brother of y and y is brother of x there x is brother of x is false This will only be true if brother relation is reflexive . Since brother relation is not reflexive. It is false 0 votes 0 votes shubham27dec commented Nov 29, 2020 reply Follow Share @priyanka17 going by your logic no non-reflexive relation will be transitive. i think the property of transitivity takes three different elements. 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes R is not transitive (on set of all persons). Moreover, as per my understanding R is not Reflexive, not Symmetric, not Antisymmetric, not Asymmetric (on set of all persons as universal set). Correct me if anything is wrong. rajankakaniya answered May 17, 2021 rajankakaniya comment Share Follow See all 0 reply Please log in or register to add a comment.