# Set theory (subset question)

1. Nov 24, 2011

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$\subseteq$E'

Therefore
W'$\subseteq$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$\subseteq$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. Nov 24, 2011