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Complex Variables: Verify Inequality

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.

Solution Summary

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.