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Phrase(s): I won’t give up without a fight.
Fig. I will not give in easily. (Compare this with Don’t give up too eas(il)y.) • Sue: Stick by your principles, Fred. Fred: Don’t worry, I won’t give up without a fight. • Bob: The boss wants me to turn the Wilson project over to Tom. Sue: How can he do that? Bob: I don’t know. All I know is that I won’t give up without a fight.
McGrawhill's American Idioms And Phrasal Verbs