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Math Help - Complex number problem

  1. #1
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    Complex number problem

    for any complex number z prove that - I z I < or equal to Re (z) < or equal to I z I
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  2. #2
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    Re: Complex number problem

    Quote Originally Posted by purpeil View Post
    for any complex number z prove that  - | z |\le Re (z) \le |z|
    If each of a~\&~b is a real number:  \begin{align*} a^2 &\le a^2+b^2\\|a| &\le \sqrt{a^2+b^2}\end{align*} .

    Let a=\text{Re}(z)~\&~b=\text{Im}(z) you are done.
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