2) Let X = {x, y} and list the four elements of the power set P(A). (The Power set is P(A) = { 0, (x), (y), (x, y)} ) Consider the operations + to be U, • to be n, and a complement to be set complement. Also, consider 1 to be X and 0 to be Not 0.
a) Explain why the description above defines a Boolean algebra.
b) Find two elements a, b in P(X) such that:
i. xy = 0,
ii. x =/ 0 and
iii. y =/ 0.

Question

2)	Let X = {x, y} and list the four elements of the power set P(A). (The Power set is P(A) = { 0, (x), (y), (x, y)} ) Consider the operations + to be U, • to be n, and a complement to be set complement. Also, consider 1 to be X and 0 to be Not 0.
a)	Explain why the description above defines a Boolean algebra.
b)	Find two elements a, b in P(X) such that: 
i.	xy = 0, 
ii.	x =/ 0 and 
iii.	y =/ 0.

zzr0ck3r · Answer

well what is the requirement for something to be an BA?

zzr0ck3r · Answer

this is not right

A = {x,y} implies P(A) = $\{\emptyset, x,y, \{x,y\}\}$

unless you mean the empty set is 0, and (x,y) is a set. Which they are both not...

anonymous · Answer

yeah I meant, empty set is 0, I should have typed it as {} instead of 0