# Inequality simpmodulus

I want to determine everything $$z in mathbb C$$ for which
$$begin {equation} tag {1} label {1} left | frac {2 + z} {2-z} right | le 1. end {equation}$$
In fact, I already know that eqref {1} is equivalent to $$Re (z) le0$$ (where $$Re (z)$$ denotes the real part of $$z$$.) However, I do not know how to get to this result and I do not know how to get results for more general inequalities, such as $$dots le c$$ by some constant instead of $$1$$.