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?