Plotting $\{z\in \mathbb{C}\mid |z| > \Re(z)-2\}$ How to plot the set of complex numbers
$$\{z\in \mathbb{C}\mid |z| > \Re(z)-2\}$$
I know that $ |z|$ should be a circle centred at $(0,0)$, but I don't know what would be its radius.

Your condition is, with $\;z=x+iy\;,\;\;x,y\in\Bbb R\;$ :
$$\sqrt{x^2+y^2}>x-2\implies x^2+y^2>x^2-4x+4\implies y^2>-4(x-1)$$
You have a parabola there...
