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How to find the existence range of z in complex variable function and draw it when I do it
It is difficult to describe this problem directly in mathematical language, but the geometric meaning of this formula on the complex plane is very clear. |z+2| >= 1 indicates that the distance from z to -2 on the complex plane is not less than 1. So this image should be outside the circle with -2 as the center and 1 as the radius, including the circumference. The specific picture is as follows:

Re represents the real axis in the complex plane, and Im represents the imaginary axis.

I hope it will help you and I hope it will be adopted.

You can ask any questions.