If we rearrange $\left(x - y\right) + 2 = 6$, we get $x - 4 = y$.
By substituting our value for $y$ we get the new inequality: $x - 4 < 3$
By putting $x$ on its own, we get $x < 7$. The only option which is greater than $7$ is $8$. So, the answer is e.