to continue to defend yourself against an enemy or attack without being defeated

They won't be able to hold out much longer under this sort of bombardment. 在这样的炮火轰击之下，他们抵抗不了多久。

If a supply of something such as food or money holds out, there is enough of it to last for a particular period of time.

to offer a possibility, solution, hope, etc.

Few people hold out any hope of finding more survivors. 几乎没人抱希望会找到更多幸存者。