Very clever complex inequality.

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mathwizarddud

Prove that for every complex number z it happens that:

[tex]|z+10|+|z+11|+|z+19| \le |z+8|+|z+12|+|z+20|[/tex]

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alyscia

let z = a+ bi and physically evaluate the modulus.

Is this some homework question? I am not sure why this is in the analysis section.

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