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Longman Dictionary of Contemporary English
no-smoking
adjective
COLLOCATIONS FROM OTHER ENTRIES
a no-smoking/non-smoking area
▪ The airport terminal is a no-smoking area.
EXAMPLES FROM OTHER ENTRIES
▪ Most restaurants and cafes have set aside small no-smoking areas.
▪ The company has a no-smoking policy in all its offices.
▪ There were big no-smoking signs on all the walls.
EXAMPLES FROM CORPUS
▪ I sat down with the Financial Times and tried to count how many people were actually smoking underneath no-smoking signs.
▪ Most have no-smoking areas or designated smoking rooms, but more than half the companies still without restrictions reported less tolerance for smokers.
▪ Most restaurants and cafes have set aside small no-smoking areas but won't be enforcing the rule.
▪ Respondents wanted the office to be kept tidy and records well organised, and no-smoking areas allocated.
▪ The arbitrary rules grated on Wirk, but it was the no-smoking requirement that eventually precipitated her departure from the fellowship.
▪ The third floor was a no-smoking floor or I think I might have started smoking again after six years' abstinence.
▪ These treats are free and are available to all smokers in our company during this no-smoking month.
▪ Wirk and her husband once paid $ 1, 500 each for violating the no-smoking rule.
Douglas Harper's Etymology Dictionary
no-smoking

1905; the sign wording itself is attested by 1817.\n\nSmoking is a vice to [sic] -- and a national one, of such magnitude that railroad corporations throughout all their routes in the United States, have a special command in large letters, conspicuously placed at depots and inside of the cars -- "No smoking allowed here."

["The Sailor's Magazine," December 1840]

Usage examples of "no-smoking".

Alone, in a first class no-smoking compartment aboard an early morning London-to-Cambridge train, Celia allowed her head to fall back against the cushion behind her.