Final answer:
False, Arthur Holmwood does not remain a bachelor as he was engaged to Lucy Westenra, although she dies before they can marry. John Seward's marital status post-novel is left to interpretation.
Step-by-step explanation:
The question concerning whether Arthur Holmwood and John Seward remain bachelors for the rest of their lives is based on the events of the novel 'Dracula' by Bram Stoker. The statement is False. After the events of the novel, it is not explicitly stated what happens to John Seward, but it is known that Arthur Holmwood, who becomes Lord Godalming after his father's death, does not remain a bachelor. He is engaged to Lucy Westenra early in the novel, although she dies before they can marry. The futures of both characters after the novel ends are open to interpretation unless specified in other works by the author or established within the novel's narrative.