# Complex Number Regions

Regions defined by complex numbers $\displaystyle z = x + yi$ where $x$ and $y$ are real numbers, can be drawn using inequalities for complex number regions. Worked Example of Complex Number Regions Find the inequality of complex region $\displaystyle \Bigg|1+\frac{1}{z}\Bigg| \le 1$. \( \begin{aligned} \displaystyle \require{color} \frac{|z+1|}{|z|} &\le 1 \\ […]