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:

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