\left\{ \begin{array} { l } { 0 \leq x \leq 1 } \\ { 0 \leq y \leq 2 } \\ { 2 y - x \geq 1 } \end{array} \right.
Solve for x
\left\{\begin{matrix}x\in \begin{bmatrix}0,1\end{bmatrix}\text{, }&y\geq 1\text{ and }y\leq 2\\x=2y-1\text{, }&y=\frac{1}{2}\\x\in \begin{bmatrix}0,2y-1\end{bmatrix}\text{, }&y>\frac{1}{2}\text{ and }y<1\end{matrix}\right.
Solve for y
y\in \begin{bmatrix}\frac{x+1}{2},2\end{bmatrix}\text{, }x\geq 0\text{ and }x\leq 1
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