If $z$ is a complex number such that $\left|\; z \;\right| \geq 2$ then the minimum value of $\large\left|\normalsize z \normalsize + \large\frac{1}{2} \right |$

Question

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