To graph y ≥ 2, draw the line y = 2 and then shade above it and keep it a solid line because the sign is "≥". (This is the red inequality on the graph.)
To graph x ≤ -1, draw the line x = -1 and then shade to the left of it and keep it a solid line because the sign is ≤. (This is the blue inequality on the graph.)
The solution set to this system will be the area where the two shaded regions overlap, which is the purple area on the graph below. Hope this helps!