~ようではないか・~ようじゃないか
Invite others to take action together
You’ll be able to make an encouraging or rhetorical proposal meaning that a group should do something.

山頂まであと少しだから、みんなで力を合わせて登り切ろうじゃないか。
sanchou made ato sukoshi da kara, minna de chikara o awasete noborikirou ja nai ka.
What do you think this sentence means?
We are almost at the mountain summit, so let's join forces and hike all the way to the top!
Make an inspiring call to action
~ようではないか (or conversational ~ようじゃないか) is a passionate, inspiring proposal calling upon a group to take action together ("let us...", "shall we not...").
今日はみんなで楽しもうじゃないか。
kyou wa minna de tanoshimou ja nai ka.
Let's all have a good time today!
自分たちの町をきれいにしようではないか。
jibuntachi no machi o kirei ni shiyou dewa nai ka.
Let us make our own town clean!
Attach ではないか or じゃないか to the volitional form
Conjugate the verb into its volitional form (~よう/~ろう) and attach ではないか (formal/literary) or じゃないか (spoken/encouraging). It urges the listeners to unite in action.
自然環境を守るために、できることから始めようじゃないか。
shizen kankyou o mamoru tame ni, dekiru koto kara hajimeyou ja nai ka.
To protect the natural environment, why don't we start with what we can do!
~ましょう vs ~ようじゃないか
Both invite others to act together. ~ましょう is an everyday “let’s”. ~ようじゃないか (written ~ようではないか) is a rousing call to a group, like a leader firing everyone up.
~ましょう, let's
みんなで頑張りましょう。
minna de ganbarimashou.
Let's all do our best.
Everyday and polite.
~ようじゃないか, come on, let's
みんなで頑張ろうじゃないか。
minna de ganbarou ja nai ka.
Come on, let's all do our best!
A rallying cry to a group.
皆さん、この町の古いお祭りを次の世代に残そうではないか。
minasan, kono machi no furui omatsuri o tsugi no sedai ni nokosou de wa nai ka.
Everyone, let us pass this town’s old festival on to the next generation.
試合に負けたのは悔しいが、来年こそ優勝しようじゃないか。
shiai ni maketa no wa kuyashii ga, rainen koso yuushou shiyou ja nai ka.
It hurts that we lost, but let’s make sure we win next year!
売り上げが落ちている今こそ、新しいことに挑戦しようではないか。
uriage ga ochite iru ima koso, atarashii koto ni chousen shiyou de wa nai ka.
Now that sales are falling, let us take on something new!
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