Note that R is not symmetric. How do you need to "fix" R to make it symmetric? You need to make .Originally Posted by kodirl
Okay, look at the elements you have and switch their first and second members and attach them to R'.
Let R be the relation {(0,0),(2,1),(1,3),(3,1),(3,0),(0,2),(2,3),(3,3)} defined on the set X ={(0,1,2,3)}.
I have drawn the digraph and answered the first q whether its symmetric,reflexive,antisymmetric or transitive(easily enough)
Need help with this Q though:
Qustion:By considering each element of R, determine the relation R' on X with the smallest number of elements satisfying;
(a) R subset R'
(b) R' is symmetric