For any two complex numbers z1 and z2, p...

For any two complex numbers `z_1` and `z_2`, prove that `|z_1+z_2|<=|z_1|+|z_2|`, `|z_1-z_2|<=|z_1|+|z_2|`, `|z+1+z_2|>=|z_1|-|z_2|` and `|z_1-z_2|>=|z_1|-|z_2|`

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