Posted by mandeep on .
Let A, B and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C.
Show that B = C.

maths 
kay,
you can easily prove oit with a Venn diagram.
If not: A¾B=A+BA¿B=A+BA¿C
AUC=A+CA¿C
As AUB=AUC then A+BA¿C=A+CA¿C hence; B=C