'Apart' in the Bible

Paul, a bond-servant of Christ Jesus, called as an apostle, set apart for the gospel of God,

But now apart from the Law the righteousness of God has been manifested, being witnessed by the Law and the Prophets,

For we maintain that a man is justified by faith apart from works of the Law.

just as David also speaks of the blessing on the man to whom God credits righteousness apart from works:

But sin, taking opportunity through the commandment, produced in me coveting of every kind; for apart from the Law sin is dead.

I was once alive apart from the Law; but when the commandment came, sin became alive and I died;