Let's plot the given points on the same coordinate plane as the system of inequalities.
When looking at the four points, the first thing we can notice is that (0,-4) and (-1,-6) lie squarely within the solution set, and the points (1,-2) and (2,-4) rest on the boundary lines. What does it mean when a line is dashed and when it is solid?
With the above in mind, we can conclude that (2,-4) is a solution to the system because it lies on a solid line. However, the point (1,-2), which lies on both a solid and a dashed line, is a solution to one of the inequalities but not a solution to the other. Therefore, (1,-2) does not belong with the others as it is not a solution.