Mathematics Triangle inequality

Triangle inequality

`text(Theorem 1.)` All complex numbers `z_1` and `z_2` satisfy the triangle inequality


`\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ||z_1|-|z_2|| <=|z_1+z_2| <= |z_1| + |z_2| `

`text(Theorem 2.)` All complex numbers `z_1` and `z_2` satisfy the triangle inequality

`\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \||z_1|-|z_2|| <= |z_1 - z_2|<= |z_1| + |z_2|`






 
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