What. Is. This.

I think it's J

I agree i believe the answer is J

The answer cannot be graphs   F , G, H  or  K

The reason is that some of the "shaded" portion  of each graph falls into the 3rd quadrant where x and y are both negative  which  would make   1  < x + y < 2     false

So...by default.....the answer is   J

They are indicating where the graphs cross a particular axis.....I have to admit, that threw me at first, too, ISG  !!!!......I don't even see why they are necessary in this problem !!!