Question: (1 point) (a) Consider the relation R on the set A = {X, Y, Z} defined by R={(X,Y), (X, Z), (Y, X), (Y, Z),

(1 point) (a) Consider the relation R on the set A = {X, Y, Z} defined by R={(X,Y), (X, Z), (Y, X), (Y, Z), (Z, X), (Z, Y)}. This relation is not reflexive. What element(s) would we need to add to R in order for it to be reflexive? (b) Consider the relation R on the set A = {X, Y, Z} defined by R={(X,X), (X, Y), (X, Z), (Y,Y), (Y, Z), (Z, X)}. This relation is not symmetric. What element(s) would we need to add to R in order for it to be symmetric? (c) Consider the relation R on the set A = {X, Y, Z} defined by R={(X,Y), (Y, X), (Z, Z)}. This relation is not transitive. What element(s) would we need to add to R in order for it to be transitive?

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