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Set theory (subset question)

  1. Nov 24, 2011 #1
    1. The problem statement, all variables and given/known data

    Given the following four statements concerning the student body at CU:
    ...
    b) There are no women engineering students at CU
    ...

    2. Relevant equations

    n/a

    3. The attempt at a solution

    Let W be the set of all women
    Let E be the set of all engineering students

    W[itex]\subseteq[/itex]E'

    Therefore
    W'[itex]\subseteq[/itex]E

    However I don't know valid the first, and therefore the second statement is. In the book I'm using, it doesn't cover any "not a subset" other than complimentary.

    However, to conclude that all non-women are engineers seems fallacious. Or is that the point?

    Is is valid to say:

    W[itex]\subseteq[/itex]E'


    The set of all women are in the set of non-engineering students.

    It's not really homework for a class, but is homework style.
     
  2. jcsd
  3. Nov 24, 2011 #2
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