'Based' in the Bible

What shall we say then? That Gentiles, who did not pursue righteousness [who did not seek salvation and a right relationship with God, nevertheless] obtained righteousness, that is, the righteousness which is produced by faith;

For Moses writes that the man who practices the righteousness which is based on law [with all its intricate demands] shall live by it.

But the righteousness based on faith [which produces a right relationship with Him] says the following: “Do not say in your heart, ‘Who will ascend into Heaven?’ that is, to bring Christ down;