Meaning of “give up sth” in the English Dictionary

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"give up sth" in British English

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give up sth

phrasal verb with give uk /ɡɪv/ us /ɡɪv/ verb gave, given

to stop owning and using something:

They were forced to give up their home because they couldn't pay the mortgage.
give up hope

to stop hoping that a particular thing will happen:

We still haven't given up hope of finding her alive.

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give up (sth)

phrasal verb with give uk /ɡɪv/ us /ɡɪv/ verb gave, given

B2 to stop doing something before you have finished it, usually because it is too difficult:

[ + -ing verb ] I've given up trying to help her.

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(Definition of “give up sth” from the Cambridge Advanced Learner’s Dictionary & Thesaurus © Cambridge University Press)