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Question Number 186540 by akuba last updated on 05/Feb/23
Complex Numbers  Prove that   1. ∣Z_1 +Z_2 ∣≤∣Z_1 ∣+∣Z_2 ∣  2. ∣Z_1 −Z_2 ∣≥∣Z_1 ∣−∣Z_2 ∣
$${Complex}\:{Numbers} \\ $$$${Prove}\:{that} \\ $$$$\:\mathrm{1}.\:\mid{Z}_{\mathrm{1}} +{Z}_{\mathrm{2}} \mid\leq\mid{Z}_{\mathrm{1}} \mid+\mid{Z}_{\mathrm{2}} \mid \\ $$$$\mathrm{2}.\:\mid{Z}_{\mathrm{1}} −{Z}_{\mathrm{2}} \mid\geq\mid{Z}_{\mathrm{1}} \mid−\mid{Z}_{\mathrm{2}} \mid \\ $$

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