Consider the following theorem: The sum of any even integer and any odd integer is odd. Six of the sentences in the following scrambled list can be used to prove the theorem. Which of the following sentences can be used to prove the theorem?
1) Sentence 1
2) Sentence 2
3) Sentence 3
4) Sentence 4
5) Sentence 5
6) Sentence 6
7) Sentence 7
8) Sentence 8