(a) The phrase to hold out has many translations, according to its meanings as here illustrated.
He held out (offered) his hand to me.
Me ofreció la mano.
He held out his hand for the money.
Extendió la mano para el dinero.
He held out (persisted) for a week.
Se mantuvo firme por una semana.
The coffee held out (there was enough).
Hubo bastante cafe.