A) Draw two general Venn diagrams for the sets A,B,and C. On one, shade the region that represents A-(B-C), and on the other, shade the region that represents (A-B)-C. Based on the Venn diagrams make a conjecture about the relationship between the sets A-(B-C) and (A-B)-C.
B) Prove the conjecture you made from Part A.
I have attempted the venn diagrams, but I am not sure if they are right, or what the relationship between the two sets are. So I cannot proceed to the proof. Also, could someone shed the light on how to do the proof once the conjecture is made?
The relationships I got are as follows:
(A-(B-C)) intersect ((A-B)-C) = ((A-B)-C)
(A-(B-C)) union ((A-B)-C) = (A-(B-C))
Does this sound like the correct relationship?