Question

A U B = A U C and A intersection b = A intersection C then prove that B = C

Answer 1

what is AUB and AUC??

plz send the question completely then I will be able to answer you.

Answer 2

Let x belongs to B (A U B =A U C)

Therefore x belongs to A or C

Case 1

Let x belongs to A

Therefore x belongs to A and C

Therefore B is a subset of C

And C is a subset of B

So,B = C