Goals from Roberto Firmino and Sadio Mane, their ninth and 12th of the season respectively and, after Danny Welbeck had dragged Arsenal back into it, a knockout punch from Georginio Wiljnaldum, gave the match a verdict that was a touch flattering to Arsenal.
The Chilean also helped energise the rather hapless-looking Olivier Giroud, who headed against the bar early in the second half. Their last league game came against Hull City where they came away 2-0 victors, but the mood after the match was more of concern than joy from the Gunners faithful.
In the end, Wenger's gamble failed to pay off, and Liverpool's dominant first half display was enough to see off the Gunners in a result that sees Jurgen Klopp's side leapfrog them back into the Champions Leauge places.
"I wanted to play two players who are strong in the air, because we chose to go more direct".
"It was one of the best games we have played so far because of the strength of our opponent", Liverpool manager Juergen Klopp declared to the BBC.
"In some ways it's a bit revolutionary from Wenger and it backfired".
"I felt the strikers suffered in the first half and we didn't dominate in the midfield.
It's disappointing when you lose the game, but more disappointing conceding the first two goals because we weren't in danger", he told reporters. This season has been the same old Arsenal, and this year may be worse than any other year for Arsenal in the Wenger era.
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Two great clubs, two wonderful managers and a future that looked bleak and bland as the London weather - that was before the start of the encounter between Liverpool and Arsenal on Saturday evening at Anfield.
"I have no special regrets, the only regret is to have lost the game", Sport24 quoted Wenger as saying.
Arsenal forward Alexis Sanchez left a training pitch mid-session and then had an angry exchange with team-mates before Saturday's defeat by Liverpool. "You have to start your world-class players".
The Reds have been excellent against teams in the top six of the Premier League this season, beating Tottenham Hotspur, Manchester City, Chelsea and drawing with Manchester United twice.
Liverpool manager Jurgen Klopp felt the win was the ideal response to the criticism his team took following their surprise defeat at Leicester last Monday.
"For us, this kind of game like Liverpool is of course an opportunity that we want to take".
And we'll always know how the longtime Arsenal boss feels about it.
"You have more pressure in the bigger games than the smaller ones and we deliver in the bigger games", said Wijnaldum.