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.
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.