Why is the set notation {3,6} ∈ Z false ?
Is it because {3,6} represents a set but not two individual element?
It should be $\{3,6\}\subset\mathbb{Z}$, since $3$, $4$ are members of $\Bbb{Z}$. On the other hand, $\{3,6\}\notin\mathbb{Z}$ (i.e., $\{3,6\}$ is not an integer, is a set of two integers).