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Manchester United have not given up on the title - Michael Carrick

Michael Carrick insisted that Manchester United have still not given up hope of winning the Premier League title.

The vice-captain said it remained an ambition for Louis van Gaal's side last week and maintained that position, even though Chelsea's late equaliser against United on Sunday means they are now 12 points behind leaders Leicester.

The 34-year-old also admitted that Diego Costa's injury-time leveller was a real setback for them.

"I think it was a big day for us in terms of the league situation," he told United's official website.

"If we'd have gone there and got a win we'd have been in good shape, but it wasn't to be and it makes things harder for us.

"It's hard to take, losing two points so late on. I know we were under pressure for the last 10 or 15 minutes but to lose a goal like that is disappointing and that's the overall feeling.

"I thought we played well and produced some really good football. We looked dangerous going forward and defended well for most of the game. We just didn't do the right things at the right time near the end and see the game out.

"We have to battle on though, keep going and play something like we have been doing over the last few weeks and then see where that takes us.

"There is plenty to play for this month and of course plenty of points to play for in the league. We're not giving anything up just yet."