Alright here is the question
Let A, B, C be subsets of a universal set. Show
A-(B intersection C)= (A-B) union (A-C)
Ok my thoughts, I understand how logically this is true, If you subtract the like terms of B and C from set A it is the same as taking a the union of both.
For instance if A= {1,3} and B= {2,4,7} and C= {3,4,6}. Then A-(B inter C) will equal {-4}+{1,3}. Also i know that A-B union A-C equals the same thing.
Can someone help tell me how to put it in proof form? I know whats going on just not how to say it.
are you actually being graded on rigorous proofs? because if you are then you probably need more than what Plato said if you want more credit, for instance, you'd probably need to prove the compliments identity he uses
but if this is just a "show why" problem or something, you'll be good with what he said