Sketch the region of B = {z ∈ C | |z - 1| ≤ 3 and |z| < 1} and state whether it is closed, open, or neither.
Added by Frank B.
Step 1
This means that the distance between z and 1 on the complex plane is less than or equal to 3. Geometrically, this is a closed disk centered at 1 with radius 3, including the boundary circle. Show more…
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