0 votes 0 votes Can anyone help …. where I am wrong…?? Set Theory & Algebra discrete-mathematics relations made-easy-test-series + – Vikas123 asked Jan 7, 2019 • recategorized Nov 25, 2023 by Hira Thakur Vikas123 713 views answer comment Share Follow See 1 comment See all 1 1 comment reply Vinay singh commented Dec 24, 2020 reply Follow Share Reflexive closure : It should satisfy three condition It should be reflexive It should contains R It should be minimal relation satisfy condition a and b Option a : satisfy condition a but violate condition b Option b : doesn’t satisfy any of these three condition option c : satisfy all three condition Answer : only III 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes @Vikas123 then reflexive closure is, by the definition of a reflexive closure S of a relation R on a set is given by since s contain all the pairs (1,1) (2,2) (3,3) therefore S=R GO THROUGH THIS (HOPE THIS HELPS) https://en.wikipedia.org/wiki/Reflexive_closure adarsh_1997 answered Jan 7, 2019 adarsh_1997 comment Share Follow See all 3 Comments See all 3 3 Comments reply Vikas123 commented Jan 7, 2019 reply Follow Share than how option (1) is wrong... 0 votes 0 votes ShivamB commented Jan 13, 2019 reply Follow Share I think option B should be correct because reflexive relation should be {(1,1),(2,2),(3,3)} according to the definition aRa, where a belongs to relation R. 0 votes 0 votes Jan Bhardwaj commented Jul 11, 2020 reply Follow Share according to definition reflexive closure should be union of R and identity elements(diagonal elements) so reflexive closure should contain atleast R plus diagonal elements so thats why option 3 should be correct and option 1 is wrong because it doesn't contain all elements of R. 0 votes 0 votes Please log in or register to add a comment.