Let A, B and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C. show that B = C.

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asked Jul 18, 2017 in Mathematics by jayprakash (2,890 points) 1 3 20

Let A, B and C be the sets such that 

A ∪ B = A ∪ C and A ∩ B = A ∩ C. 

show that B = C. 

1 Answer

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answered Jul 18, 2017 by jayprakash (2,890 points) 1 3 20
 
Best answer

Let, A, B and C be the sets such that . 

To show:

 B = C Let x ∈ B 

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