give up on (someone or something)

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give up on (someone or something)

1. To abandon some task or goal. Don't give up on your thesis—you'll get it done eventually.
2. To lose faith in someone or something; to no longer believe in someone or something's potential for betterment. I know I've failed a lot in the past year, but please, don't give up on me. Don't give up on this team just yet.
See also: give, on, up