Which of the following sets are open?

A. $\vert z-1+i \vert \le 3$
B. $\vert z \vert \ge 2$
C. $(Re\ z)^2>1$
D. $0<\vert z - 2 \vert < 3$
E. $\vert Arg\ z \vert < \frac{\pi}{4}$
F. $-1<\ Im\ z \le 1$