What were the eastern, western and northern boundaries of the Egyptian settlement?

The Western and Eastern boundaries were not very strict defined: it was the desert, as the Egyptian civilization run along the Nile: there was no farming and no life away from the Nile.

To the North, Egypt was restricted by the Meditteranean.

To the south the border was moving, also by manner of wars. They were often set on the cataracts, as they're impassable by boat and easy to defend.