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Phrase(s): Don’t give up without a fight!
Fig. Do not yield easily.; Keep struggling and you may win.; Do not give up too soon. (Also with don’t. Don’t used with all persons is folksy.) • Sue: She says no every time I ask her for a raise. Mary: Well, don’t give up without a fight. Keep after her.
McGrawhill's American Idioms And Phrasal Verbs