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Mathematik-Online problems:

Problem 32: Set of Points in the Complex Plane

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Sketch the sets

$\displaystyle M=\{z\in\mathbb{C} \mid \vert 4z-5{\mathrm{i}}\vert\leq {\mathrm{Im}}\,(4z-3{\mathrm{i}}) \ \ {\mbox{and}} \ \ \vert z+{\mathrm{i}}\vert\leq 4\} $

in the Gauß plane.
(Authors: Gekeler/Höfert)

see also:

[Solutions]
  automatisch erstellt am 29. 10. 2004