give up on

US /ɡɪv ˈʌp ɑːn/
UK /ɡɪv ˈʌp ɑːn/
"give up on" picture
1.

諦める, 見捨てる

to stop hoping or believing in someone or something

:
Don't give up on your dreams.
夢を諦めないで
We shouldn't give up on him yet; he might still recover.
まだ彼を見捨ててはいけない。まだ回復するかもしれない。