Let A,B, and C be subsets of some universal set U. Consider the following equality:
A-(B∩C)=(A-B)∪(A-C)
Convince yourself that the equality is true using different approaches:
a. Using Venn diagrams.
b. Constructing a proof using the Thm: A=B if and only if AsubeB and BsubeA.
c. Constructing a proof using "if and only if" statements.
d. Constructing a proof using the properties of set relationships.
