Graphic complex inequalities --- Introduction ---

Although one cannot make direct comparisons of two complex numbers, there are several functions sending a complex number to a real: real and imaginary parts, module, argument. Via these functions, inequalities can be established on complex numbers. Geometrically, the set of complex numbers verifying such an inequality correspond to a region in the complex plane. This region gives a ``vision'' on the inequality, and helps to understand the sense of the functions appearing in the inequality.

This online exercise helps you to establish the link between the inequalities and the geometry of the complex plane. It can either plot a region and ask you to recognize the corresponding inequality among a list to choose from, or give an inequality and ask you to recognize the region it describes.

Configuration of the exercise:
  • ( The first letter corresponds to the level of difficulty.)
  • questions ( With a score assigned at the end of each session.).

Other exercises on:
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