Let X be a family of sets and R be a relation on X defined by 'A is disjoint from B'. Then R is
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R is a relation on X defined by 'A is disjoint from B'. This means that the subsets A and B in X have no elements in common or A∩B=∅. But this is not possible as every non-empty set has all the elements common with itself. Hence, R is not reflexive.
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