Question

Which graph is that of the inequality shown below?

Answer 1

All answer choices show the boundary line going through (0,-2) and (2,2). This  is because y = 2x-2 goes through these two points. We make the boundary line a dashed line to indicate that solution points are not found on the boundary (because there is no "or equal to" portion in the inequality sign).

The shading is below the boundary line because of the "less than" sign. Any solution point (x,y) will have its y coordinate smaller than the y coordinate of points on the boundary line. So if (a,b) is on the boundary, then (a,c) is a solution where c < b.

In summary, the graph has a dashed boundary line and the shading is below the boundary

Answer: Graph B