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M={z[tex]\in[/tex]C:[(1<|z-i|[tex]\leq[/tex]2) and (z[tex]\neq[/tex]2+i)] or [z = 1 + [tex]\pi[/tex]i]}

I got the last two constraints, but the first one is what's giving me trouble.

is z-i just x+yi that is (1,1) on the complex plane lowered by 1?

Thanks