A U B and A B are equal only if

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PGCET CSE Exam (Karnataka) 2011 click here to view all questions

A U B and A B are equal only if

AA is an empty set

BB is an empty set

Cboth A and B are empty sets

Dboth A and B are singleton sets

Akilesh Kharvi ? Dec 8 '2016 at 21:8

Answer: both A and B are empty sets 

Explanation:

Let B = A + X 
A U B = { A, X } 
A ∩ B = { A } 
Thus A U B = A ∩ B only if X is the empty set. 
In that case, A = B

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Answer: both A and B are empty sets  Explanation: Let B = A + X  A U B = { A, X }  A ∩ B = { A }  Thus A U B = A ∩ B only if X is the empty set.  In that case, A = B Akilesh Kharvi ? answered Dec 8 '2016 at 21:8 All Comments

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