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Hi! "Would" is the modal verb. So are both "like" and "have" the main verbs? Thanks, Fulvio

1. Would you like to have a cup of coffee?

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yellowstarstruck"Would" is the modal verb.

Correct. And it goes with the main verb "like".

"to have" is a catenative complement of "would like", not the main verb of the whole clause.

CJ

Comments  

Would you like to have a cup of coffee?


Actually, the subordinate clause "like to have a cup of coffee" is catenative complement of "would", and the further subordinate clause "to have a cup of coffee" is then catenative complement of just "like".

Note that modal auxiliary verbs can be just as much catenative verbs as lexical verbs can.