Graphing Systems of Nonlinear Inequalities

$\begin{cases}x^2+y^2<4\\-\frac{1}{2}\ x^2+2<y\end{cases}$

$\begin{cases}(x+2)^2+(y+2)^2<6\\x^2+x+2<y\end{cases}$

$\begin{cases}x^2+y^2<\sqrt{2}\\-2x^2-2>y\end{cases}$