To be clear
I know how to transform complex numbers from $z$ to $w$ planes but what I don't really grasp is the inequality sign, what decides its direction?
If $z$ is any point in the region $R$ for which $$|z+2i|<2$$ Sketch: $w=z-2+5i$
NOTE: I didn't shade the inequality in the $w$-plane (that's the point of my question).
And could anyone help me solve $|zw+2iw|=1$ for the same inequality above?
I'm looking for some logic explanation that would make me tackle every transformation problem. Thank you in advance.