Hi, Sara!
Thanks for your question. The dense facts and strange wording of the answer choices definitely make this question difficult.
This question is categorized as Must Be True. Your Prephrase for the correct answer is that it will be either a restatement of one of the facts in the stimulus, or it will be an inference permissible by a combination of the facts.
The set of facts in this stimulus is lengthy and dense. When combined with the awkward phrasing of the correct answer choice, (C), LSAC has made a fairly direct question difficult.
Among the facts we're provided in the stimulus is that a brown dwarf's lithium cannot be consumed because it does not have a fully functional nuclear furnace. To be certain, no fact in the stimulus expressly tells us that a brown dwarf must necessarily have lithium in its atmosphere. However, the combination of the second sentence (i.e., brown dwarfs are identified by...whether or not lithium is present in their atmospheres) and the last sentence (i.e., so its lithium cannot be consumed) permits us to infer that a brown dwarf must have lithium in its atmosphere.
Answer choice (C) tests us on this definitional aspect of a brown dwarf, that it must have lithium in its atmosphere. In conditional terms:
brown dwarf
lithium in atmosphere
The contrapositive of this relationship would be that if there is no lithium in the atmosphere, then it is not a brown dwarf:
lithium in atmosphere brown dwarf
Hidden beneath its awkward language, answer choice (C) expresses this conditional relationship.
If I may help you further, please let me know.
Ron