Liverpool beating Arsenal doesn't mean anything in the grand scheme of things for the short term, because lets be honest Liverpool will lose a game too, it's possible for them to go unbeaten but I doubt it, they will lose, and Arsenal can cover that difference.
The real tricky situation is the fact that Liverpool spent like what 400 million or something on transfers? If they can get the most out of these players and the ones they have, they are going to be a team that is unstoppable. They are spending like crazy, and expecting a win is just the norm for them after all of this. If they do anything else, any lower then it is not easy.
Look at this
link, and see how much they spent, and that is just the official number on those transfers, not adding the marketing and what not, these players get a lot more money than this for the transfer, and the teams get more too, it's just not shown up as the transfer fee itself, but they get more.