# Given that z  is a complex number and that|z|> 0 Show that |z + 1|>=1?

$\left\mid a + b i \right\mid = \sqrt{{a}^{2} + {b}^{2}}$
Let $z = - \frac{1}{2} + 0 i$ Then $z + 1 = \frac{1}{2} + 0 i$
$\left\mid z \right\mid = \frac{1}{2} = \left\mid z + 1 \right\mid$