Cardiff City manager Neil Warnock praised his sides “guts” after they beat relegation rivals Brighton & Hove Albion 2-0 at the Amex Stadium.
Goals by Nathaniel Mendez-Laing and Sean Morrison secured Cardiffs third away victory of the season.
The Bluebirds are now within two points of Brighton and Premier League safety with four games remaining.
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“A lot of people might have thought we were already relegated but it wasnt to be like that,” Warnock said.
However, the Seagulls – who must play Tottenham, Arsenal and Manchester City in their final five fixtures – have scored only two league goals and picked up just four points in front of their own fans this year.
“We just have to keep on going. We deserve to be on a few more points and I think we can get a few more this season.”
The Bluebirds significantly inferior goal difference on Brighton means they are effectively three points from safety and boss Warnock has urged his players to give everything in the quest for survival.
Cardiff host Premier League leaders Liverpool on Sunday before travelling to already relegated Fulham on Saturday, 27 April.
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They face Crystal Palace in their final home game of the season on 4 May and end their season against Manchester United at Old Trafford on 12 May.
Warnock paid tribute to his players resilience after a run of three successive defeats which had left them in the relegation zone.
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“None of the players have been down. I didnt sense any pressure. We just wanted to impress the fans,” he added.
“Weve had a lot of disappointing performances this season but youre bound to have that coming up on the wage structure that weve got.
“The lads have given me everything, even the games when weve been disappointing – and if you give everything you cant ask any more.
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“Ive never worked as hard and Ive never had so many disappointments in the game, but Ive never been as proud.
Midfielder Harry Arter is set to miss Sundays game against Liverpool after suffering a calf injury against Brighton.
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Chris Hughton believes Brighton and Hove Albions team spirit will be enough to ensure they avoid relegation from the Premier League.
Brighton could have moved eight points clear of the drop zone on Tuesday, but instead are now just two above Cardiff City, who won 2-0 at the Amex Stadium and occupy the final relegation place.
The Seagulls do still have a game in hand compared to Cardiff, although their run-in includes trips to Tottenham and Arsenal, while Manchester City visit the south coast on the final day.
However, Hughton is confident that his side – who have lost four successive league games without scoring – have the quality to beat the drop.
“Its still very much in our own hands and thats the way we have to look at it,” he told Brightons official website.
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“Weve always had a battle on our hands, were a young team in this division and theres going to be highs and lows.
“Coutinho is a great player, he has balls,” said Clement Lenglet, while Sergio Busquets was also asked the question.
“At this moment its a low, particularly because of the last two defeats at home, but we have no choice but to get on with it, roll our sleeves up and show the quality that weve got.
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“We need to make sure we show the quality that we know we have, the fighting spirit that we know we have and the togetherness we have, and take that into these final games.
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“Its about making sure were in this division next season, and we need to and will do everything that we can to make sure that happens.”
Cardiff win at Brighton in key relegation duel
5 – Brighton & Hove Albion are the first top-flight team to lose five consecutive matches without scoring in all competitions since Aston Villa in October 2014. Troubled. pic.twitter.com/JtwbmpRERQ
Brighton were unfortunate not to be awarded a penalty early on, when Bruno Ecuele Manga dragged down Lewis Dunk, but Cardiff made their luck count – Nathaniel Mendez-Laing curling home before Sean Morrison made sure of the points in the second half.
And Neil Warnock insisted his side were wholly worthy of a victory that could be crucial in their bid to avoid relegation.
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“We had a few pundits say it would be our final game in the Premier League but we are alive and kicking,” Warnock told BBC Sport . “We deserved tonight. In the final third, if we had been more clinical we could have created more.
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“I cant say anything better about the players. They have been great for me. We came out of the traps and enjoyed it today. We are far from finished yet.”