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If A and B are non empty sets and A′ and B′ represents their compliments respectively, then

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If A and B are non empty sets and A′ and B′ represents their compliments respectively, then

(a) A – B = A′ – B′

(b) A – A′ = B – B′

(c) A – B = B′ – A′

(d) A – B′ = A′ – B

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1 Answer

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Correct option is (c) A – B = B′ – A′

Let U → Universal set

X → U − (A + B)

B′ = X + A

A′ = X + B

B′ − A′ = X + A − (X + B)

= X + A − X − B

B′ − A′ = A − B

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