〜ませんか
〜ませんか means would you like to; why don't we. It is a JLPT N5 grammar point. Use the negative question form of the masu-form to politely invite someone. Compared with 〜ましょう, it feels softer because it asks the other person's preference.
Japanese sources describe it as 「しませんか（丁寧な誘い）」.
〜ませんか examples
いっしょに映画を見ませんか。
Would you like to watch a movie together?
明日公園へ行きませんか。
Would you like to go to the park tomorrow?
〜ませんか exercises
Pick what belongs in the parentheses. The answer is marked below.
いっしょにお茶を飲み（ ）。
- ませんか ✓
- ませんでした
- ました
- ます
Would you like to drink tea together?
明日、図書館へ行き（ ）。
- ません
- ました
- ませんか ✓
- たいです
Would you like to go to the library tomorrow?
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