Systems of Nonlinear Inequalities with No Solutions

Graph the system of nonlinear inequalities and determine whether or no there's a solution.

$\\\begin{cases}\left(x+4\right)^2+\left(y+4\right)^2\le 16\\\left(x-4\right)^2+\left(y+4\right)^2\le 16\\\left(x-4\right)^2+\left(y-4\right)^2\le 16\\\left(x+4\right)^2+\left(y-4\right)^2\le 16\end{cases}$