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Question

Question: If A, B and C are any three sets, then \(A - ( B \cap C )\) is equal to....

If A, B and C are any three sets, then A(BC)A - ( B \cap C ) is equal to.

A

(AB)(AC)( A - B ) \cup ( A - C )

B

(AB)(AC)( A - B ) \cap ( A - C )

C

(AB)C( A - B ) \cup C

D

(AB)C( A - B ) \cap C

Answer

(AB)(AC)( A - B ) \cup ( A - C )

Explanation

Solution

From De’ morgan’s law,

A(BC)=(AB)(AC)A - ( B \cap C ) = ( A - B ) \cup ( A - C ) .