Let A = {a, b} and list the four elements of the power set P (A). We consider the operations + to be ∪, · to be ∩, and complement to be set complement. Consider 1 to be A and 0 to be ∅.
a). Explain why the description above defines a Boolean algebra.
b). Find two elements x,y in P(A) such that xy =0, x̸=0 andy̸=0.