As per a reasonable scenario where they would win 7 of the remaining games (excluding today's result), draw 3 and lose one. City would get the same number of points from its 11 last games but increase its goal difference by an extra 6 goals compared to Liverpool. Should the Reds get only 1 point from Man Utd today they would have to wait for the final match day and hope to at least draw against Wolves at Anfield.
This would essentially bring us back to a situation like the final game of 1988/89 where the Reds needed just one point against Arsenal to win the League but ended up losing the match (they won the title for the last time the following year). If they lose tonight City would win by a better goal difference on May 12. This assumes for example that the Citizens draw at Crystal Palace one of the four teams that have beaten them this season. Not a given.
Hope your heart is in shape.