Complex Analysis: Theory and Applications · Problem 1.3.7

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · modulus-real-imaginary-inequality

Problem

Prove that 2∣z∣≥∣Re(z)∣+∣Im(z)∣\sqrt{2}|z| \geq |\text{Re}(z)| + |\text{Im}(z)|.

Related theory

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