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Properties of Operation of Union of Sets

If A, B and C are three sets and U being the universal set, then
I. A  B = B  A (Commutative law)
II. (A  B)  C = A  (B  C) (Associative law)
III. A  φ = Α  (Law of identity, φis the identity of Union)
IV. A  A = A (Idempotent Law)
V. U  A = A (Law of U)                                  

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