In the following sentence, I'd like to know what part of speech "to continue" is: "As South Korean workers strive to find a work-life balance, this trend looks set to continue."
I'm asking because I need to help students understand the idea of "looks set to continue," and I'm not sure if the the phrase should be divided "looks set" or "looks set to..." I would like students to know that besides "continue" other verbs can be used such as "stop" or "fail." I'm not sure if it is "looks set" followed by an infinitive, or if "to continue" is some kind of adjunct or complement.