Determine which points satisfy all inequalities in a system. Evaluate each point by checking it against every inequality.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Is the point [math](1,-1)[/math] a solution to the system of inequalities [math]\begin{cases}x+y\gt 0\\ y\lt x\end{cases}[/math]? Why or why not?