0 0 votes A binary relation R on Z × Z is defined as follows: (a, b) R (c, d) iff a = c or b = d Consider the following propositions: 1. R is reflexive. 2. R is symmetric. 3. R is antisymmetric. Which one of the following statements is True? Set Theory & Algebra set-theory&algebra relations discrete-mathematics + – Durgesh Singh 2.7k views answer comment Share Follow Print See all 4 Comments 4 4 Comments reply Mk Utkarsh commented Mar 9, 2018 reply Follow flag both reflexive and symmetric 0 0 replyShare bhanu kumar 1 commented May 3, 2018 i edited by bhanu kumar 1 May 3, 2018 reply Follow flag All 0 0 replyShare manisha11 commented Aug 30, 2019 reply Follow flag @Mk Utkarsh how symmetric; eg (1,2) (1,3) is R then? 0 0 replyShare Mk Utkarsh commented Aug 31, 2019 reply Follow flag "binary relation R on Z × Z " 1 1 replyShare Please log in or register to add a comment.
0 0 votes R is reflexive. The relation is reflexive because say we have (3,3) R (3,3) because a=c or b=d which ever you take the relation will hold true for any ordered pair The relation is symmetric symmetric and also anti-symmetric. Kalpataru Bose answered May 3, 2018 Kalpataru Bose comment Share Follow See 1 comment 1 1 comment reply sra1kumar commented Mar 4, 2022 reply Follow flag (2,3) R (3,2) here a!=c(2!=3) and b!=d(3!=2) then how it can be symmetric . 0 0 replyShare Please log in or register to add a comment.
