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