Answer:
The correct answer is option 2 Inaugurated in 2009, Barack Obama had won the presidential election in 2008.
Explanation:
Let's explain a little better what a fragment in a sentence is.
Fragments are indicators that something is missing in the sentence. Usually these sections have been extracted from the main clause. That would be the case of sentence number 2, which could be complete if we wrote it in the following way:
Barack Obama won the presidential election in 2008 and was inaugurated in 2009.
Given this information we can say that the correct answer is option 2.
