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.