- #1
merzperson
- 32
- 0
Homework Statement
Graph the following inequality in the complex plane: |1 - z| < 1
2. The attempt at a solution
In order to graph the inequality I need to get the left side in the form |z - ...|
|1 - z| < 1
|(-1)z + 1| < 1
|-1(z - 1)| < 1
|-1||z - 1| < 1
(1)|z - 1| < 1
|z - 1| < 1
From here I know how to graph it, but I'm not sure if my procedure is correct. Does this look right?