Sketch the following sets and determine which are domains:

a) |z - 2 + i| ≤ 1;

b) |2z + 3| > 4;

c) lm z > 1;

d) lm z = 1;

e) 0 ≤ arg z ≤ π/4 (z ≠ 0);

f) |z - 4| ≥ |z|.

Sketch the following sets and determine which are domains:

a) |z - 2 + i| ≤ 1;

b) |2z + 3| > 4;

c) lm z > 1;

d) lm z = 1;

e) 0 ≤ arg z ≤ π/4 (z ≠ 0);

f) |z - 4| ≥ |z|.