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# Inequalities of Complex Variables.

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Functions of a Complex Variables

Prove that:

(a) &#9474; z1 &#9474;-&#9474; z2 &#9474; ≤ &#9474;z1 - z2&#9474; ≤ &#9474; z1 &#9474;+ &#9474; z2 &#9474;
(b) &#9474; z1 &#9474;-&#9474; z2 &#9474; ≤ &#9474;z1 + z2&#9474; ≤ &#9474; z1 &#9474;+&#9474; z2 &#9474;

where z1 , z2 are complex numbers.

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• BSc, Manipur University
• MSc, Kanpur University
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