Liverpool needed a return to form after back-to-back draws and they promptly delivered, with Salah and Coutinho leading a 4-0 rout of Bournemouth.
Jurgen Klopp's side were 3-0 up at half-time as they created a string of chances.
It was more difficult than it should have been, but United pressed forward against West Bromwich Albion thanks to Jesse Lingard's growing confidence.
Jose Mourinho insists Manchester United are not ready to concede the Premier League title to Manchester City and "go on holiday."
The Blues have enjoyed a swift revival under Sam Allardyce, who has delivered organisation, but the key may be his trust in Everton's youngsters.
Man United showed impressive character to beat West Brom 2-1 and keep their faint title hopes alive, reducing Man City's lead to 11 points.
Manchester United held on for a 2-1 win at The Hawthorns to cut Manchester City's lead at the top of the Premier League back to 11 points.
|Brighton & Hove Albion||18||4||6||8||-9||18|
|West Ham United||18||4||5||9||-15||17|
|West Bromwich Albion||18||2||8||8||-11||14|