#### Answer

$\{x|x\text{ is a multiple of $4$ that is greater than $0$}\}$

#### Work Step by Step

In set-builder notation, the given set, $\{
4,8,12,16
\}$ can be described as
\begin{array}{l}\require{cancel}
\{x|x\text{ is a multiple of $4$ that is greater than $0$}\}
.\end{array}