We can use modal verbs for deduction – guessing if something is true using the available information. The modal verb we choose shows how certain we are about the possibility. This page focuses on making deductions about the present or future.
We use must when we feel sure that something is true or it's the only realistic possibility.
This must be her house. I can see her car in the garage.
He must live near here because he always walks to work.
Come inside and get warm. You must be freezing out there!
We use might, may or could to say that we think something is possible but we're not sure.
She's not here yet. She might be stuck in traffic.
He's not answering. He could be in class.
We regret to inform you that some services may be delayed due to the bad weather.
They all have the same meaning, but may is more formal than might and could.
We use can't when we feel sure that something is not possible.
It can't be far now. We've been driving for hours.
She can't know about the complaint. She's promoted him to team leader.
It can't be easy for him, looking after three kids on his own.
Note that these verbs, like all modal verbs, are followed by an infinitive without to.
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