we have a system of inequalities
x-y > 1 -----> -y > -x+1 ------> y < x-1
The solution of the first inequality is the shaded area below the dashed line y=x-1
Second inequality
y ≥-1
The solution of the second inequality is the shaded area above the solid line y=-1
therefore
the solution of the system of inequalities is the shaded area below the dashed line y=x-1 and the shaded area above the solid line y=-1
see the attached figure below to better understand the problem
