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Let S = {z in C: z(iz(1) - 1) = z(1) +1,...

Let `S = {z in C: z(iz_(1) - 1) = z_(1) +1, |z_(1)| lt 1}`. Then, for all `z in S`, which one of the following is always true ?

A

`Re z + Im z lt 0`

B

`Re z lt 0`

C

`Re z - Im z gt 1`

D

`Re z - Im z lt 0`

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