The meaning of "to be + infinitive" and "must + base verb" is very similar. The former is more impersonal and formal and is often seen in official warnings and instructions. It would be very unusual in a one-to-one situation, where "must" would be much more common.
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lucas21c1. Can this sentence, "You are to clean your room", be interpreted as follows?(1) You are going to clean your room.(2) You must clean you room.2. Could you tell me the difference between "You are to finish the work by 4 pm" and "You must finish the work by 4 pm?"You are to clean your room.
BillJI see these as a special kind of directive where I have the authority to tell you what you are going to do, and I leave you no choice.I agree that that is very likely, but it's possible that somebody else has the authority:
lucas21c1. Can this sentence, "You are to clean your room", be interpreted as follows?(1) You are going to clean your room.(2) You must clean you room.(1) No. (2) Yes.