CVP4

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Show that |z_{1}+z_{2}+z_{3}|\leq |z_{1}|+|z_{2}|+|z_{3}|\,.

By the triangle inequality,

|z_{1}+(z_{2}+z_{3})|\leq |z_{1}|+|z_{2}+z_{3}|\leq |z_{1}|+|z_{2}|+|z_{3}|\,.

Complex Variables

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