Answer
$n=-5$ is 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.
$\begin{align*}
14&\stackrel{}{\ge}-2n+4\\
14&\stackrel{?}{\ge}-2(-5)+4\\
14&\stackrel{?}{\ge}10+4\\
14&\stackrel{\checkmark}{\ge}14
\end{align*}$
Thus, the given value is a solution.