I have the first one as not always true and the second and third as always true. I just wanted someone to check this because I think i'm doing them wrong.Quote:
Let A,B,C be sets.
(i)Which of the following are always true?
1). A \ ( B \ C) = ( A \ B) U C
2). A \ (B U C) = (A \ B) \ C
3). A \ (B <intersection> C)= (A \ B) U (A \ C)
Is there a difference between A \ B \ C and (A \ B) \ C?
Sorry I don't know how to get unions and intersections to work so I used a U for the union and wrote <intersection> for intersections.