Si los verbos describen ofertas e invitaciones hay que utilizar los verbos modales presentados en la tabla abajo. En general se hace la oferta o invitación en forma de una pregunta afirmativa o negativa.

verbo afirmación
will Will you have a cup of coffee with me?
Won't you have a seat?
would Would you like something to eat? Would you like me to do your laundry while you are sick?
Wouldn't you like some more tea? Wouldn't you like to come over for a chat?
I would like to offer you some more tea if I might.
shall* Shall I offer you a drink?
Shan't I take the heavy bag?
can* Can I help you with the shopping?
Can't we be of any help for you?
could* Could I give you a hand with this?
Couldn't we do anything to solve this?
may* May I offer you a drink? May we help you with these bags?

* En general se usan estos verbos si el que habla ofrece algo, o sea en el caso de que el sujeto es 'I' o 'we'.

También en el caso de que se construya sin verbo modal es más usual expresar una oferta o propuesta en forma de pregunta.

forma ejemplo
imperativo Take some more cake(, will you?)
to mind Do you mind if I take this bag for you?
to care Do you care for another cup of coffee?