1.

Which of the following statement is false: A. A - B = A ⋂ B'B.  A - B = A - (A⋂ B)C.  A - B = A - B'D. A - B = ( A ⋃ B) - B

Answer»

A is true statement because 

A∖B is the set of elements which are in A but not in B 

⇒A∖B is the set of elements which are in A and in B' 

⇒A∖B is the set of elements of A⋂B' 

∴A∖B = A⋂B' 

B is true statement because 

A∖B is the set of elements which are in A but not in B 

⇒A∖B is the set of elements which are in A but not in A⋂B' 

⇒ A∖B = A∖(A⋂B') 

C is false statement because 

A∖B = A⋂B' and A∖B^'= A⋂B 

∴ A⋂B'≠A⋂B

⇒ A∖B≠B∖A.



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