The Home Office said although police figures showed knife crime was down it was not complacent.
Lynn Chamberlain from Bristol City Council said it was "not complacent" and took the figures "very seriously".
"We are certainly not complacent, we are confident but not over-confident, " he said.
"But the government is not complacent and has taken action to ensure that we have an even safer railway, " he continued.
He said the number of Neets in the county was low compared with the national average but the council was not complacent.
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The Scottish government said it was considering the Francis Report in detail and while not complacent was proud of the approach to healthcare in Scotland.
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Mr Jones assured AMs that the Welsh government was not complacent, and had taken a "more proactive approach" to help the board in good governance practices.
Assistant Chief Constable Garry Shewan said GMP had had "significant reductions" in anti-social behaviour in 2013, but that the force was "not complacent" about the issue.
London Mayor Boris Johnson told CNN's Becky Anderson that while the city's authorities are not complacent, he is confident in their ability to keep visitors safe.
Rock is not complacent, cooperative or content to just be.
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Later he insisted that he was "calm but not complacent" about the intrusion and said there was no reason to demand resignations "for the sake of a 24-hour headline".
Russian Finance Minister Alexei Kudrin told a gathering of political appointees and economists at the Peterson Institute for International Economics last week that Russia was not complacent in the Putin years.
And the Swiss were not only complacent in such a scheme, they openly welcomed it.
Cllr Craig Martin, Falkirk Council's leader, said the news was welcome but the authority would not be complacent.
This was still "too many", she said, and she assured peers the government would not be complacent on the issue.
Although it does not bear out the notion of a terrorised and depressed middle class, theirs is not a complacent picture.
There have been no infant deaths associated with the illness so far this year in Wales, but we must not be complacent.
And it's absolutely critical that those of us who are not in the Bush administration not become complacent and somehow think that we've done our job.
"But we will not be complacent, " added the health secretary.
Folkestone look to maintain their good form away to a Horsham side stung by the FA Cup defeat at the weekend and Cugley says his side must not be complacent.
Dr Stephen Bridgman said Guernsey was not "complacent" and needed to carry out the extra tests because people with symptoms may find the flu carries strains of the swine virus in the background.
It might not be enough and the complacent investor may not know how to discern if they are doing enough.
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It is very important not to become complacent even with new boilers, as this incident shows they can still pose a danger.
Labour has urged its activists not to be complacent about an election victory and says the Tories would take the UK back to the "failed policies of the past".
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