The graph that represents the solution set is the second graph in option B
How to identify the graph
The inequality will be written in slope intercept form: y = mx + c
y < -x + 1
y + 2 ≥ x rewriting results to y ≥ x - 2
y < -x + 1
The shading will be below the line and the line will be dashed lines
y ≥ x - 2
The shading will be above the line and the line will be solid line
The second graph meets the requirement and hence the graph of the inequality