4. Let the universal set be Q = [0,10], and define the following subsets of Q:

A = [0,2), B = [2,7], G = [5,6], D = {2}, E = {x: x = y-I, Y is an even positive integer ~ 4}.

a. Define the following sets:

AUB, AnB, AUG, (AuD)nB, B-G, AnE, bnB.

b. For each of the sets in (a), indicate whether the set is finite, countably infinite, or uncountably infinite.