(Solved): Determine the cardinality of the following sets. For sets which are "infinite", indicate if it is " ...

Determine the cardinality of the following sets. For sets which are "infinite", indicate if it is "countable" or "uncountable". Support answers with a theorem or formula or function or diagram. A. $P(P(A))$ where $?A?=3$. B. $A?B$ if $?A?=?B?+2=11$ and $?A?B?=8$ C. $\mathbb{R}\backslash \mathbb{N}$ D. $\{x?\mathbb{R}?2?x<3\}$ E. Set of points in the first quadrant of the plane with its both coordinates are natural numbers. Note: $P(X)$ denotes the power set of $X$, i.e., the set of all subsets of $X$.