At the end of Inheritance, Eragon, in spite of himself,
leaves the charted lands of Alagaësia for the far east, where he'd be able to train future Knights far from peoples, kings and influences. Not even the deserts between the Elves and the Dwarfs are good enough, given concerns for the latters' sheep and whatnot. No, only the far east would be far away enough from everything. At least, that's what he says, and the book seems to take this for granted. However, that doesn't actually mean those lands are actually devoid of civilization.
Eragon would hardly have considered the trip, and the forever-and-ever consequences, without being positive about this.
How does he know for sure?