i don't know how to prove this..

if it's false then i'm suppose give an example where the equality fails...

So, the closure of the intersection of all A_{alpha}= intersection of all closure of A_{alpha}.

the closure of the union of all A_{alpha}= union of all closure of A_{alpha}.

I know for the last one it is false... but i can't find an example...

Please help me out!

Thank You!