Let A, B, C be subset of Z^2 where A=((x,y)ly=2x+1) B=((x,y)ly=3x) and
Determine (compliment of B) U (compliment of C)?
answer is Z^2 and why is that?
I thank you everyone in advance,
-2x = 7
but the lefthand side is even and the right hand side is odd, which is
impossible so B intersection C = null set.
But (by De Morgan's laws):
complement(B intersection C) = (compliment B) U (compliment C),
and as compliment(null set) = Z^2, we have:
(compliment B) U (compliment C) = Z^2.