〜じゃないか・〜ではないか
isn't it! (reproach, surprise, invitation)
Plain form + じゃないか · Volitional + じゃないか
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じゃないか at the end of a sentence isn't really a question. It's emphatic, and its tone depends on context.
Reproach: だから言ったじゃないか, "I told you so, didn't I!"; 遅かったじゃないか, "you're late!"
Surprise or praise: すごいじゃないか!, "that's amazing!"
Invitation, after a volitional: みんなで頑張ろうじゃないか, "let's all give it our best!", typical of speeches.
In casual speech, じゃない with falling intonation does the same job. Compare のではないか (N3), which is a tentative opinion ("I think maybe"), not an exclamation. With rising intonation, じゃない? turns into a real question asking for agreement.
Register: Emphatic; often masculine or teacherly. Softer: じゃない.
Examples
だから言ったじゃないか。
I told you so, didn't I!
遅かったじゃないか。心配したよ。
You're late! I was worried.
すごいじゃないか!合格したんだね。
That's amazing! You passed!
みんなで頑張ろうじゃないか。
Let's all give it our best!
約束が違うじゃないか。
That's not what we agreed!