If z is a complex number such that $|z| \geq 2$, then the minimum value of $| x + \frac{1}{2} |$

Question

( A ) lies in the interval $(1, 2)$
( B ) is equal to $\frac{5}{2}$
( C ) is strictly greater than $\frac{5}{2}$
( D ) is strictly greater than $\frac{3}{2}$ but less than \frac{5}{2}$