Теория:
Study some information about questions with modal verbs.
Вопросы с модальными глаголами могут выражать приглашение, предложение, запрос на разрешение.
Can I/ Could I stay here?
May I / Might I make a suggestion?
Giving permission / Answering requests
Yes, you can. / Yes, of course (you can). / No, you can't.
Yes, you may. / Yes, of course (you may). / No, you may not. / I'd rather you didn't. / I'm afraid not, etc.
Making suggestions / invitations
Will you / Would you / Would you like to have dinner with me?
Shall we have dinner together?
Answering suggestions / invitations
I'd like to. / I'd love to. / Yes, all right. / I'm afraid I can't. / I'd love to but I can't. / I'm sorry I can't.
Making offers
Shall I / we close the window?
Can I / we bring sweets?
Would you like me to do the washing-up?
Answering offers
Yes, please. / No, thank you. / No, thanks.