'Under the Law' in the Bible

For as many as have sinned without the law, shall perish also without the law: and as many as have sinned under the law shall be judged by the law;

Now we know that whatsoever things the law saith, it speaks to those who are under the law: that every mouth might be sealed up, and all the world become criminal before God.

For sin shall not hold dominion over you: for ye are not under the law, but under grace.

What then? shall we sin, because we are not under the law, but under grace? God forbid.