I'm having a little trouble on this homework trying to prove or disprove this problem.
Let A, B, and C be sets. Prove or disprove that A − (B ∩ C) = (A − B) U (A − C).
Hint: difference of two sets, De Morganís law, distributive law for intersection over union.
The teacher said the first step to this is:
Step 1: A − (B ∩ C) = A ∩ B ∩ C
But I don't see where he got the A n B n C from anywhere, or where to go after wards, any suggestions?