\left\{ \begin{array} { l } { x + 2 y \leq 2 } \\ { 2 ( x + 3 ) ^ { 2 } + y > 5 } \end{array} \right.
Solve for x
\left\{\begin{matrix}x\leq -8\text{, }&(y>3\text{ and }y\leq 5)\text{ or }(y>-45\text{ and }y\leq 3)\\x\leq 2-2y\text{, }&(y>3\text{ and }y<5)\text{ or }y>5\\x<-\frac{\sqrt{10-2y}}{2}-3\text{, }&y\leq 3\\x\in (\frac{\sqrt{10-2y}}{2}-3,2-2y]\text{, }&y<\frac{15}{8}\end{matrix}\right.
Solve for y
y\in (-2(x+3)^{2}+5,-\frac{x}{2}+1]\text{, }x<-4\text{ or }x>-\frac{7}{4}
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