@femon90 sure! Let's break down the stimulus first.
"Not surprisingly, there are no professors under the age of eighteen."
P ==> >18 <18 ==> not P
"And, as well known, no one under eighteen can vote legally."
<18 ==> not VL VL ==> >18
"Finally, some brilliant people are professors, . . .
BP-some-P
some are legal voters, . . .
BP-some-VL
and some are under eighteen."
BP-some-<18
Notice, this last statement, i.e. "some [brilliant people] are under eighteen," when combined with the first and second sentences allows us to conclude that (E) must be true.
BP-some-<18 ==> not P
BP-some-not P
BP-some-<18 ==> not VL
BP-some-not VL
If you wondering why we can conclude "neither professors nor legal voters", remember that you can rewrite the first and second principles as follows:
<18 ==> not P & not VL
So you would then combine as follow:
BP-some-<18 ==> not P & not VL
To conclude:
BP-some-not P & not VL
Hope that helps! Please let us know if you have any other questions.
