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


(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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