'Under the Law' in the Bible

Now we know that whatever the Law saith, it saith to those who are under the Law; that every mouth may be stopped, and all the world become subject to condemnation before God.

Therefore the inheritance was made to depend on faith, that it might be a matter of grace; that the promise might be sure to all the offspring, not to that only which is under the Law, but to that also which hath the faith of Abraham, who is the father of us all

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

What then? Are we to sin, because we are not under the Law, but under grace? God forbid!