It appears that the statement you included in your question is valid, because of the particular combination of limiting and non-limiting language that is used in the phrasing. It might be helpful to draw a picture to help yourself visualize the groups that are being described. We can also use words to form the groups that the problem describes, as follows:
GROUP 1: STUDENTS = People who are all excited and thus not bored.
GROUP...
It appears that the statement you included in your question is valid, because of the particular combination of limiting and non-limiting language that is used in the phrasing. It might be helpful to draw a picture to help yourself visualize the groups that are being described. We can also use words to form the groups that the problem describes, as follows:
GROUP 1: STUDENTS = People who are all excited and thus not bored.
GROUP 2: UNMOTIVATED PEOPLE = People who bored.
GROUP 3: ECCENTRIC PEOPLE = Includes some people who are unmotivated and therefore bored.
If SOME of the eccentric people are unmotivated, then they are also therefore bored. That group of bored, unmotivated people cannot be students, because were were told that "all students" belong to a group of people who cannot be bored, so they therefore cannot be part of Group 2. If you are trying to prove that "some eccentric people must not be students", it is correct. The unmotivated portion of the eccentrics in Group 3 indeed CANNOT be students (Group 1) if being bored is a requirement of being unmotivated. Being bored excludes them from being in Group 1.
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