Given the system y ≤ x - 2 and y > x - 1, evaluate whether the system has any solutions and justify the reasoning.

There are solutions only when x is an integer because only integer x values can bridge the unit gap between the lines.

No; the system has no solutions because the shaded regions are on opposite sides of parallel lines and do not overlap.

Yes; infinitely many solutions exist along the line halfway between y = x - 2 and y = x - 1.

Exactly one solution exists at the midpoint of the two boundaries because inequalities always intersect at a midpoint.