Answer
{$(x,y) | x-y \gt -1$}
Work Step by Step
As we are given that $G(x,y)=ln(1+x-y)$
The function $G(x,y)=ln(1+x-y)$ represents a logarithmic function which is undefined for negative numbers.
Thus,
$ 1+x-y \gt 0$
or, $x-y \gt -1$
or, $x-y \gt -1$
This means that $x \gt y-1$
Hence, {$(x,y) | x-y \gt -1$}