Ok I will try to explain. -2,-3 is no, the order of pairs are out of both inequities
3,2 yes , falls in area with both inequaties
3,-1 no x+y>2 is a dashed line and this falls on the dashed line and can not be included
0,5 yes falls on the solid line within the shared area
if you go to desmos and put in each of the functions it will help to understand better