West Ham beat Leeds 3-0 but that wasn't enough to climb out of the relegation zone because fourth-from-bottom Tottenham also won, 1-0 at home to Everton, which meant they stayed two points clear of their London rivals.
Joao Palhinha scored Tottenham's winner in the 43rd minute and Spurs defended stoutly to stop Everton scoring the two goals that would have kept West Ham up.
"After a bad season like this one, we showed up as a collective and had amazing support from the fans," Palhinha said.
"The club will grow up with this season and we know what we have to do in the future."
It meant West Ham's 14-year stay in the Premier League was over and Spurs, who won three of their last five games under recently-hired boss Roberto De Zerbi, will be in the top division for a 49th straight season.
"We shouldn't be in the position we're in but we've found ourselves in it and we've not done enough to stay up," West Ham captain Jarrod Bowen admitted.
"Hurt is the only thing."
"This club deserves to be in the Premier League. Our aim now is to get this club back into the Premier League."
Meanwhile, Guardiola's decade-long tenure at Manchester City — which has included six Premier League titles among 17 major trophies — ended with a 2-1 loss to Aston Villa which featured a mid-match guard of honour for first Bernardo Silva and then John Stones, two of Guardiola's stalwarts.
And Salah was given a standing ovation — before he kissed the Anfield turf — during his second-half substitution in his 442nd and last game for Liverpool, in which he grabbed an assist in a 1-1 draw with Brentford. The Egypt winger finished his nine years with the Reds with 257 goals.
Arsenal had already clinched the title and closed their first championship-winning campaign since 2004 with a 2-1 win at Crystal Palace.
In the final shake-up for European qualification, Bournemouth and Sunderland finished sixth and seventh, respectively, to get into the Europa League while Brighton ended eighth to reach the Conference League.
Brighton lost 3-0 at home to Manchester United, for whom Bruno Fernandes scored and bagged a record-setting 21st assist of the season.
Sunderland, who beat Chelsea 2-1, will be in Europe for the first time in 53 years — a remarkable achievement for a team in their first season back in the top division and which were in the third tier as recently as 2022.
Chelsea, on the contrary, missed out on European competition entirely after finishing in 10th place — 10 months after winning the Club World Cup.
Manchester City striker Erling Haaland won the Golden Boot as top scorer in the Premier League on Sunday for the third time in his four seasons in English soccer.
The Norway international didn't feature at all in City's final game of the campaign againsat Villa and finished on 27 goals, five more than Brentford striker Igor Thiago in the list of top scorers.
No other player in the league reached 20 goals.
