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    Complex Variables: Verify Inequality

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    3. Verify that (sqrt(2))ּ|z| ≥ |Re z| + |Im z|.

    Suggestion: Reduce this inequality to (|x| - |y|)2 ≥ 0.

    Sqrt(2) means square root of 2.

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    Please see the attachment.

    Verify the inequality .
    Proof: For each ...

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    A complex inequality is verified. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.