Thanks for the question, edwardrip! Answer E describes a premise in an argument in which each premise, by itself, directly supports the main conclusion, without relying on each other. That would look more like this, using the same basic topic as the stimulus:
Research and teaching cost less in humanities than in sciences.
Alumni are more likely to support their alma mater if it maintains a strong humanities program.
The humanities are an essential aspect of the university mission of creating well-rounded students prepared to face a variety of challenges in their lives after graduation.
Thus, it is a mistake for universities to cut humanities departments when facing budget shortfalls.
In this argument, each premise independently supports the main conclusion, while none of them relates to the others. You could remove any one of the premises and the argument would be essentially unchanged, because no premise relied on another premise. In other words, there were no intermediate conclusions. The argument didn't build from one idea to another to another.
Of course, that's not what happened in the actual argument in this case. Instead, some of the premises supported other premises, which in turn built to the main conclusion. That's why E is an incorrect description of the role played by that first premise.
Adam M. Tyson
PowerScore LSAT, GRE, ACT and SAT Instructor
Follow me on Twitter at
https://twitter.com/LSATadam