EDB — 0HG

[0HG]Note:written exam, 12/1/2013.Let A be an open subset of \(X\). Prove that, for any subset B of \(X\) , the following inclusion holds: \(A ∩ \overline B ⊆ \overline{A ∩ B}\). Show, by an example, that the conclusion does not hold if you remove the assumption that A is open.