Casemiro's first-half strike proved pivotal as the Reds edged ever close to securing a top-four spot, with just one point now needed from our remaining two games.
Erik ten Hag's men also recorded an impressive 17th shutout of the league season, as David De Gea claimed the Premier League's Golden Glove accolade on the afternoon.
De Gea praises team-mates for Golden Glove
Aaron Wan-Bissaka and Antony continued to develop their strong partnership down the right-hand side of attack, whilst Christian Eriksen and Bruno Fernandes both performed well to stifle any momentum the Cherries attempted to gather.