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There is no solution when the two shaded regions do not
intersect. This occurs when the boundary lines are parallel
and the region between the boundary lines is not part of
either shaded region.
An example is below.
2y - x > 6
x - 2y > 8
The green region represents the solution to 2y - x > 6
The blue region represents the solution to x - 2y > 8.
There are no common solutions because the green and blue
regions do not overlap anywhere.
Edwin
