Meaning of “take sb up on sth” in the English Dictionary

british dictionary

"take sb up on sth" in British English

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take sb up on sth

phrasal verb with take uk /teɪk/ us /teɪk/ verb took, taken

to accept an offer that someone has made:

Could I take you up on that offer of a lift, Rob?

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