Tottenham requires two wins from its final three matches - against West Bromwich Albion, Newcastle and Leicester - to seal a top-four finish.
Honored and embraced before kickoff by past and present United managers Alex Ferguson and Jose Mourinho, Wenger trudged away from Old Trafford nursing yet another painful loss.
Juergen Klopp's priority is protecting a 5-2 advantage over Roma in the Champions League semifinals when it travels to Italy for the second leg on Wednesday.
Having already won a record 18 straight games this season, City is within reach of more milestones to underline one of the most stunning seasons in English soccer.
Through the thick and thin, Wenger has bared it all. The criticism, the scrutiny, the immense pressure, the Frenchman has seen and achieved it all as an era after 22 years, comes to a glorious end.
Arsene Wenger has won the Premier League title three times and the FA Cup seven times with Arsenal since taking over in October 1996.
It is the first time Chelsea has won back-to-back league matches since December and saw Antonio Conte's men move within five points of fourth-place Tottenham with four matches remaining.
Chris Smalling netted his third goal in six league games by meeting a low cross from Jesse Lingard and slotting into an empty net in the 28th minute.
It was Manchester City's third title in seven seasons - and fifth in its history - and easily its most convincing.
Manchester City clinched the title without even playing on Sunday when Manchester United, their nearest challengers, surprisingly lost 1-0 at home to last-place West Bromwich Albion.
With two goals, Dele Alli answered his critics and ended his team's 28-year victory drought at Chelsea.
Liverpool capitalised by securing all three points with Salah's 84th-minute effort to maintain their pursuit of a second-place finish.
Ibrahimovic, who joined Jose Mourinho's Manchester United in 2016, arrived on a free transfer but has had an aggravating and troublesome journey so far.
Liverpool failed to handle United's aggressive and direct start as two long balls forward resulted in goals from the 20-year-old Rashford in the 14th and 24th minutes.
The win lifted United back above Liverpool in the race for Champions League qualification - five days before the fierce rivals meet at Old Trafford.
Chelsea lost in Manchester for the second straight weekend, defeated 1-0 at runaway leader Man City to drop five points adrift of the top four with nine games remaining.
After back-to-back 3-0 losses to Manchester City across two competitions, Arsenal stumbled again following two errors by goalkeeper Petr Cech on the south coast.
Lukaku's 39th-minute equaliser, canceling out Willian's opener, was his first goal against any of the division's leading eight sides this season.
With a surprising 1-0 loss to Newcastle on Sunday, United ceded some of the initiative in the race for second place in the Premier League and left its manager cursing the "gods of football" on his latest fruitless trip to the northeast.
Tottenham has collected seven points from a possible nine, following victory over Manchester United and a draw at Liverpool, to climb into the third Champions League qualification place.
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