which graph best represents the solution set for this system of inequalities for x+2y<-2 and y-x<3

Answer 1

The graph that best represents the solution set for this system of inequalities would be the region of the coordinate plane that is shaded where the two shaded regions overlap.

This would form a shaded triangle in the second and fourth quadrants of the coordinate plane, with the line y = -x + 3 as the boundary for the region that satisfies both inequalities.

Therefore, the graph that best represents the solution set for this system of inequalities for x+2y<-2 and y-x<3 would be a shaded triangle in the second and fourth quadrants of the coordinate plane, with the line y = -x + 3 as the boundary.