\left\{ \begin{array} { l } { x + y < 0 } \\ { x ^ { 2 } + y ^ { 2 } \leq 9 } \end{array} \right.
Solve for x
\left\{\begin{matrix}x\in [-\sqrt{9-y^{2}},\sqrt{9-y^{2}}]\text{, }&y\geq -3\text{ and }y<-\frac{3\sqrt{2}}{2}\\x\in [-\sqrt{9-y^{2}},-y)\text{, }&|y|<\frac{3\sqrt{2}}{2}\text{ or }(y>-\frac{3\sqrt{2}}{2}\text{ and }y\leq 0)\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y\in [-\sqrt{9-x^{2}},\sqrt{9-x^{2}}]\text{, }&x\geq -3\text{ and }x<-\frac{3\sqrt{2}}{2}\\y\in [-\sqrt{9-x^{2}},-x)\text{, }&|x|<\frac{3\sqrt{2}}{2}\text{ or }(x>-\frac{3\sqrt{2}}{2}\text{ and }x\leq 0)\end{matrix}\right.
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