\left\{ \begin{array} { l } { x ^ { 2 } + y ^ { 2 } \geq 9 } \\ { x y \leq 0 } \end{array} \right.
Solve for x
\left\{\begin{matrix}x\geq \sqrt{9-y^{2}}\text{, }&y\geq -3\text{ and }y\leq 0\\x\leq -\sqrt{9-y^{2}}\text{, }&y\geq 0\text{ and }y\leq 3\\x\geq 0\text{, }&y<-3\\x\leq 0\text{, }&y>3\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y\leq -\sqrt{9-x^{2}}\text{, }&x\geq 0\text{ and }x\leq 3\\y\geq \sqrt{9-x^{2}}\text{, }&x\geq -3\text{ and }x\leq 0\\y\leq 0\text{, }&x>3\\y\geq 0\text{, }&x<-3\end{matrix}\right.
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