# Prove that A – B = A ∩ B.’

Let x be some element in set A – B that is x (A – B)

Now if we prove that x (A B’) then (A – B) = (A B’)

x (A – B) means x A and x B

Now x B means x B.’

Hence we can say that x A and x B.’

Hence x A B.’

And as x A B’ and also x A – B we can conclude that

A – B = A B.’

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