Question

Let R be a relation from A = {1,2,3,4} to B = {1,3,5} i.e. (a,b) $ϵ$ R if a < b then find R o $R^{-1}$

Answer 1

R = {(1,3), (1,5), (2,3), (2,5), (3,5), (4,5))
$\therefore R^{-1}$ = {(3,1), (5,1), (3,2), (5,2), (5,3), (5,4)}
$\therefore Ro{R}^{-1}=(3,1)ϵR^{-1}and(1,5)ϵR$
$\therefore (3,5)ϵRo{R}^{-1}$ etc.
$Ro{R}^{-1}$ = {(3,3), (3,5), (5,3), (5,5)}