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:

Sketch the the set of points in the complex plane of the following sets of inequalities and Identify whether the if it is an open or closed set:

1. S = {z :|z| ≤ 1}

2. S = {z : |z| 1}

5. S = {z ∈ C∶1 ≤ |z| ≤ 2}

what is the graph of S = {z :|z| ≤ 1} in the complex plane?

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

inequality: 1 < |z − 2i| ≤ 3.

Determine and sketch the sets in the complex plane given by

|𝑧 + 1 − 𝑘𝑖| ≤ 3/2

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