challenge / declaration of war
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challenge
A public and often provocative statement with which someone challenges another person or announces that they will begin a competition, dispute, or conflict.
Seine Rede wurde von den Medien als klare Kampfansage an die Opposition gewertet.
His speech was seen by the media as a clear challenge to the opposition.
This word is made up of 'der Kampf' (fight/struggle) and 'die Ansage' (announcement). So it literally means an announcement of a fight or confrontation.
Die Ankündigung des neuen Produkts ist eine Kampfansage an die Konkurrenz.
The announcement of the new product is a challenge to the competition.
A 'Kampfansage' (challenge/declaration of war) is typically used with the verb 'machen' (to make). You 'make' a challenge or declaration of war to someone or something.
Der Trainer machte dem gegnerischen Team vor dem Finale eine klare Kampfansage.
Before the final, the coach issued a clear challenge to the opposing team.
The recipient of a 'Kampfansage' (challenge/declaration of war) is expressed with the preposition 'an' followed by the accusative. So the announcement is directed 'an jemanden' (at/to someone).
Die Umweltschutzorganisation machte eine Kampfansage an die Plastikindustrie.
The environmental organization issued a challenge to the plastics industry.
You can recognize the figurative meaning by the fact that the opponent is not a person or group, but an abstract problem such as an illness, poverty, or environmental pollution.
Mit ihrem neuen Programm macht die Regierung der Arbeitslosigkeit eine Kampfansage.
With its new program, the government is declaring war on unemployment.
challenge
'die Herausforderung' and 'die Kampfansage' can both express that someone is facing a difficult matter or an opponent. 'Herausforderung' is more general: it can be a difficult task or a direct invitation to compete. 'Kampfansage' sounds stronger, more public, and more determined. It is often used when someone clearly says: I am going up against someone, or I am going to fight a problem. 'Herausforderung' also fits calm everyday situations. 'Kampfansage' is more likely to fit sports, politics, arguments, or a very combative attitude toward a problem.
Die neue Mannschaft versteht den Sieg als Kampfansage an die Konkurrenz.
The new team sees the victory as a challenge to the competition.
Für die Prüfung ist das lange Fachbuch eine große Herausforderung.
For the exam, the long textbook is a major challenge.