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 \( \displaystyle \Bigg|1+\frac{1}{z}\Bigg| \le 1 \). Show Solution \( \begin{aligned} \displaystyle \require{color} \frac{|z+1|}{|z|} &\le [...]