I have question about sets. I need to prove that: X ∩ (Y - Z) = (X ∩ Y) - (X ∩ Z).
now, I tried to prove that from both sides of the equation but had no luck.
for example, I tried to do something like this: X ∩ (Y - Z) = X ∩ (Y ∩ Z') but now i don't know how to continue.
from the other side of the equation I tried to do something like that: (X ∩ Y) - (X ∩ Z) = (X ∩ Y) ∩ (X ∩ Z)' = (X ∩ Y) ∩ (X' ∪ Z') and from here I don't know what to do again.
I'm starting to think that maybe there is some misprint in this expression or something like this. I will be glad to hear how should I continue from here and what I did wrong. Thanks in advance.