We need to find the points that are solutions, that is, the points that lie in the shaded region.
Let's try the ordered pair (1,2). This isn't in the shaded region, so it is not a solution of the system.
The same goes for (-10, 10) and (-2,0).
But when you plot (0,10), it does lie in the shaded region, so it's a solution of the system of inequalities.