What is the relationship between law and the righteousness of God?

The relationship between the law and the righteousness of God is one of distinction; the law's role is to expose sin, as outlined in Romans 3:20, which states, 'by the law is the knowledge of sin.' The law cannot justify or produce righteousness; it serves to show humanity's inability to fulfill God’s standard. In contrast, the righteousness of God is revealed apart from the law, providing a means of salvation through faith in Christ. Romans 3:31 further emphasizes that faith does not nullify the law but establishes it, highlighting that while the law identifies sin, it is through faith in Christ that believers attain righteousness.