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Inequalities of Complex Variables.

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Functions of a Complex Variables

Prove that:

(a) │ z1 │-│ z2 │ ≤ │z1 - z2│ ≤ │ z1 │+ │ z2 │
(b) │ z1 │-│ z2 │ ≤ │z1 + z2│ ≤ │ z1 │+│ z2 │

where z1 , z2 are complex numbers.

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Solution Summary

This solution is comprised of a detailed explanation for inequalities of complex variables. It contains step-by-step explanation for the following problem.

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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