Liverpool:Bournemouth on Sunday joined Watford and Norwich City in the Championship for next term despite 3-1 win at Everton on the final day of the Premier League season.
Eddie Howe's side needed wins from Arsenal against Watford and West Ham against Aston Villa, as well as its own win at Everton, to clinch another late escape.
But Villa's 1-1 draw at West Ham ensured it just survived and that Bournemouth's efforts came too late. Villa stayed one point clear and both Bournemouth and Watford which lost 3-2 at Arsenal were relegated.
Everton defender Leighton Baines announced his retirement after his 420th and final appearance for the Toffees.
"I am incredibly proud to have represented Everton for the past 13 years and my decision to retire has been a difficult one to make," the 35-year-old former England defender said in a message to Everton fans on the club's official website.
Howe named an attacking Bournemouth lineup and was rewarded with an early lead after Joshua King converted a penalty in the 13th minute. Brazilian forward Richarlison was penalized after moving the ball with his arm.