Choice A is the correct answer. Parallel lines with disjoint regions.

1. Slopes: Both have $m=1$ (Parallel).
2. Intercepts: $b=1$ and $b=-2$.
3. Regions: $y > x+1$ is above the top line. $y < x-2$ is below the bottom line.
4. Overlap: None.

?�� Strategic Tip: Parallel lines ($m_1=m_2$) with shading in opposite directions (away from the gap) have no solution.

Choice B is incorrect because the region between the lines is the solution. Choice C is incorrect because it is the first quadrant. Choice D is incorrect because the solution is the line $y=x$.