For each of the following sets in the complex plane:
i. Sketch the set in the complex plane.
ii. State whether the set is open, a domain, a region, closed, bounded, or compact.
iii. State the boundary of the set in set notation.
(a |z-4+i| > 4, b |Arg| < 3, c 2 < |z-3| < 5, d Im > 1, e {z รขหห C | |z| > 1} U {2i})