Van Persie headed home the only goal of the game in the first-half.
Speaking to MUTV, Van Persie said: "We could have been 11 points behind, so now we're in a good position. It was a big win, a real six-pointer. We are right in the mix, which is what we wanted. We knew what the other teams had done before us, and realised that it was a must-win game. I always think positively, and I'm thankful that we did that today."
The Dutchman found the net from a Wayne Rooney corner with 27 minutes gone and was subsequently full of praise for his strike partner.
"It was a good corner from Wayne. After I made contact with my head, I think it brushed my shoulder, but it didn't really matter. It was a good goal, and I'm very happy to have scored. Wayne is a great player, and he worked really hard, as everyone did today. I don't think it is enough for a couple of individuals to play well, I think you need to be strong as a team, that's what we did today."
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