United were 4-0 down at halftime after 45 minutes of shambolic defending and the sense of chaos was added to when substitute Paul Pogba was sent off on the hour mark after entering play after the break.

The United hierarchy have shown faith in Solskjaer throughout difficult periods in his nearly three years in charge but will come under pressure to rethink their loyalty to their former player after such an embarrassing performance and result.

"We know we are rock bottom, we can't feel any worse than this," said Solskjaer, who said though that he had no intention of falling on his sword.

"I have come too far, we have come too far as a group. We are too close to give up now."

Juergen Klopp's Liverpool, who are in second place, a point behind leaders Chelsea, looked every bit the title contenders they are with Salah continuing his remarkable run of scoring form - finding the target for the 10th game in all competitions.

"What we did in the last third was insane. Pressing high, winning balls, scored wonderful goals," said Klopp.

"5-0, I couldn't be happier, it is exceptional. Absolutely outstanding," added the German.

Liverpool took the lead when Luke Shaw sloppily played Salah onside and the Egyptian's pin-point cross was turned in by Naby Keita.

Shaw was at fault again, eight minutes later, when he and Harry Maguire got in each other's way and Keita took advantage moving the ball outside to Trent Alexander-Arnold whose low ball across the face of the goal was slid in by Diogo Jota.

Salah then increased the lead, when he and Keita combined.

There was simply no authority or sense of discipline in the United defence and Salah made it four with a near post conversion of a low ball in from Jota.

It was the first time United had been 4-0 behind at the interval in the Premier League era and they were loudly booed off the field.

It took just five minutes after the break for Salah to complete his hat-trick with a trademark clinical finish after Jordan Henderson won the ball from Pogba in midfield and curled a pass into the path of the forward.

United's day got worse as they had a Ronaldo goal over-ruled for offside by VAR and then Pogba was red carded for a two-footed tackle on Keita, 15 minutes after coming on.

It was a ruthless display from Liverpool, their biggest win at Old Trafford, and a calamitous one from their rivals and it remains to be seen just what the fallout from this humiliation will be.

Australian Associated Press