The correct answer is C. Baruch said that he might teach English Literature next semester.
The sentence “I might teach English Literature next semester” is an example of a modal verb. Modal verbs are used to express possibility, necessity, or permission. In this case, the modal verb “might” is used to express possibility. This means that Baruch is not certain whether or not he will teach English Literature next semester. He is simply expressing the possibility that he might teach it.
The other options are incorrect because they do not accurately reflect the meaning of the sentence. Option A, “Baruch said that he is going to teach English Literature next semester,” is incorrect because it implies that Baruch is certain that he will teach English Literature next semester. Option B, “Baruch said that he will teach English Literature next semester,” is also incorrect because it implies that Baruch is certain that he will teach English Literature next semester. Option D, “Baruch said that he might be teaching English Literature next semester,” is incorrect because it implies that Baruch is teaching English Literature next semester, when in fact he is only expressing the possibility that he might teach it.