👉 In mathematics, a unpreserved relation is a relation that can be defined using only one additional element. This means that if you have a relation R on a set A and a new element x is added to A, then R still defines the same relation on A. For example, consider the relation R defined on the set {1, 2, 3} by R = {(1, 2), (1, 3), (2, 1), (2,