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Question
Let z $ \in $ C be such that |z| < 1.

If $\omega = {{5 + 3z} \over {5(1 - z)}}$z, then :
4Im( $\omega$) > 5
5Im( $\omega$) < 1
5Re( $\omega$) > 4
5Re( $\omega$) > 1

Solution

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