Let A and B be sets If A cap X B cap X and A cup X B cup X f...........

Let A and B be sets. If A ∩ X = B ∩ X = ? and A ∪ X = B ∪ X for some set X, show that A = B. (3 marks)

(Hints A = A ∩ (A ∪ X) , B = B ∩ (B ∪ X) and use Distributive law)

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