Answer
$z=2$ is not a solution.
Work Step by Step
The given value into the inequality. If the resullting statement is true, then the given value is a solution.
$\begin{align*}
\frac{4}{z}&\stackrel{}{\ge}3\\
\frac{4}{2}&\stackrel{?}{\ge}3\\
2&\not\ge3
\end{align*}$
Thus, the given value is NOT a solution.