If z is a complex number such that $\,\left| z \right| \ge 2\,$, then the minimum value of $\,\,\left| {z + {1 \over 2}} \right|$ :

Question

is strictly greater that ${{5 \over 2}}$

is strictly greater that ${{3 \over 2}}$ but less than ${{5 \over 2}}$

is equal to ${{5 \over 2}}$

lie in the interval (1, 2)

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