Sketch each of the following sets of complex numbers that satisfy the given inequalities:

- .
- .
- .
- .

- Letting we have,
This is a disk of radius centered at . The sketch is as follows:

- Letting we have,
This is the half-plane with negative real part. The sketch is as follows:

- Letting we have,
This is the half-plane with positive imaginary part. The sketch is as follows:

- Letting we have,
This is the region outside the disk of radius centered at the point . The sketch is as follows:

Describe and sketch the set of points in the complex plane satisfying the

inequality: 1 < |z โ 2i| โค 3.

Determine and sketch the sets in the complex plane given by

|๐ง + 1 โ ๐๐| โค 3/2

What if you had to graph this 4 <=|z-1|+|z+1|<=6 on the complex plane?