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It was the sixth time Arsenal have scored five or more in a Premier League game this season without conceding and in such a tight race they now have a huge goal difference advantage which could prove crucial to the outcome.
Arsenal's 10th win in their last 11 league games put them on 71 points from 31 games.
Liverpool claimed a 2-1 comeback victory over Bright.n & Hove Albion.
Liverpool have 60 points with champions City on 59 and Arsenal on 58, all three teams having played 26 games.
The woman, Jilumol George (38), was accused of attempting suicide after injecting poison to her 13-year-old and eight-year-old children.
Fourth-placed Aston Villa suffered a 3-1 home defeat by Newcastle United, Crystal Palace came from behind to beat visiting Sheffield United 3-2 and struggling pair Fulham and Everton fought out a goalless draw at Craven Cottage.
Leon Bailey's deflected strike after a surging run in the 74th minute sealed Villa's club record-equalling 14th successive home league win as they moved above City into third place.
Ten-man Chelsea beat Brighton & Hove Albion 3-2 at Stamford Bridge while fourth-placed Aston Villa needed a late Ollie Watkins goal to scrape a 2-2 draw at Bournemouth.
Trent Alexander-Arnold drilled in an 80th-minute equaliser with his right foot to deny City a 24th successive home win in all competitions.
Arsenal came into the match having not beaten City in the league since 2015, a run of 15 games -- their longest winless streak against a single opponent in league history.