3 votes 3 votes A) {0,g,h,i} B) {0,h,s} C) {d,e,f,g,h,i,0} D) {0,h,e} Set Theory & Algebra set-theory&algebra hasse-diagram + – Lakshman Bhaiya asked Oct 6, 2018 Lakshman Bhaiya 1.6k views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply srestha commented Oct 6, 2018 reply Follow Share {o,h} 0 votes 0 votes Utkarsh Joshi commented Oct 6, 2018 reply Follow Share i am getting lower bounds of {a,b} as {d,g,h,i,0}. and lower bounds of {b,c} as {f,g,h,i,0}. So, A is correct!! 0 votes 0 votes Mk Utkarsh commented Oct 6, 2018 reply Follow Share e is not the lower bound in both $L$ and $R$ so eliminate option c and d g is lower bound of both so you can mark $A$ but still you can check others and $A$ is correct 0 votes 0 votes Lakshman Bhaiya commented Oct 6, 2018 reply Follow Share @Utkarsh Joshi How to find Lower bound and Upper bound? 0 votes 0 votes Shaik Masthan commented Oct 6, 2018 reply Follow Share in simple words, x is a lower bound to y means, in hasse diagram, you should reach from x to y. lower bounds of a = {d,e,g,h,i,o} but note that f is not lower bound of a due to you can't reach a from f. lower bounds of b = {d,f,g,h,i,o} but note that e is not lower bound of b due to you can't reach b from e. lower bounds of {a,b} = lower bounds of a ∩ lower bounds of b = {d,g,h,i,o} = L lower bounds of b = {d,f,g,h,i,o} but note that e is not lower bound of b due to you can't reach b from e. lower bounds of c = {e,f,g,h,i,o} but note that d is not lower bound of c due to you can't reach c from d. lower bounds of {b,c} = lower bounds of b ∩ lower bounds of c = {f,g,h,i,o} = R L ∩ R = {d,g,h,i,o} ∩ {f,g,h,i,o} = {g,h,i,o}. 1 votes 1 votes Please log in or register to add a comment.
0 votes 0 votes L: lower bound of {a,b} is {d,g,h,i,o} R: lower bound of {b,c} is {f,g,h,i,o} so L∩B is {g,h,i,o} which satisfies option a bhumijgupta answered Oct 6, 2018 bhumijgupta comment Share Follow See 1 comment See all 1 1 comment reply Lakshman Bhaiya commented Oct 6, 2018 reply Follow Share can anyone, give the answer, how to find Lower bound and Upper Bound in given Hasse diagram? 0 votes 0 votes Please log in or register to add a comment.