Q. 515.0( 5 Votes )

# Fill in the blanksFor all sets A and B, A – (A ∩ B) is equal to ______________.

A B’

Given: A and B are two given sets

To find: A – (A B)

A – (A B)

= A (A B)’

{ A – B = A B’}

= A (A’ B’)

{ (A B)’ = A’ B’}

= (A A’) (A B’)

{ Distributive property of set:

(A B) (A C) = A (B C)}

= Φ (A B’)

{ A A’ = Φ}

= A B’

A – (A B) = A B’

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RELATED QUESTIONS :

If and x < 8}, and B = , find :

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(iii) A – B

(vi) B – A

RS Aggarwal - Mathematics