If (A union B) = (A union C) and (A intersection B) = (A intersection C) prove B=C

If (A union B) = (A union C) and (A intersection B) = (A intersection

1.	If (A union B) = (A union C) and (A intersection B) = (A intersection C) prove B=C
Answer» Tq n(A U B) = n(A U C) …….1n(A ∩ B) = n(A ∩ C)………2Expanding equation 1n(A) + n(B) — n( A ∩ B) = n(A) + n(C) — n(A∩C)…3Substituting 2 in equation 3n(A) + n(B) — n(A∩B) = n(A) + n(C) — n(A∩ B)Therefore n(B) = n(C)