ませんか
Meanings
1
won't; hasn't; isn't; doesn't
Polite negative question used to ask whether something is not the case. Often expects confirmation or expresses surprise.
See also: ます
Doesn't this train go to Tokyo?
Haven't you finished your homework yet?
2
won't you; shall we; why don't we
Polite invitation, suggestion, or indirect command. Softens a request by framing it as a negative question.
Won't you go see a movie with me?
Shall we get going soon?