2. [20pts] For each of the following sets, state whether it is finite, countably infinite, or uncountable. (a) all integers, positive and negative, divisible by 4 without remainder. (b) the prime numbers. (c) the real numbers between 0 and 2 (d) the set AxZ+ where A = {0,1} (e) the set Ax R+ where A = {0,1}