I have question about sets. I need to prove that: $X \cap (Y - Z) = (X \cap Y) - (X \cap Z)$.
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: $X \cap (Y - Z) = X \cap (Y \cap Z')$ but now i don't know how to continue.
from the other side of the equation I tried to do something like that: $(X \cap Y) - (X \cap Z) = (X \cap Y) \cap (X \cap Z)' = (X \cap Y) \cap (X' \cup Z')$ and from here I don't know what to do again.
I will be glad to hear how should I continue from here and what I did wrong. Thanks in advance.