1. The problem asks to write the system of inequalities for the region where the graph shows shading above both lines. 2. The first line is given by the equation $y = x + 3$ with a positive slope of 1. 3. The second line is given by the equation $y = -2x - 1$ with a negative slope of -2. 4. Since the shading is above both lines, the inequalities must be $y > x + 3$ and $y > -2x - 1$. 5. Therefore, the system of inequalities is: $$\begin{cases} y > x + 3 \\ y > -2x - 1 \end{cases}$$ This means $y$ is greater than both $x + 3$ and $-2x - 1$ simultaneously, representing the region above both lines where they intersect. Final answer: $$\boxed{\begin{cases} y > x + 3 \\ y > -2x - 1 \end{cases}}$$