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

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
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