'Transgressions' in the Bible

What then is the law? It was added because of transgressions, till the seed should come to whom the promise hath been made; and it was ordained through angels by the hand of a mediator.

And for this cause he is the mediator of a new covenant, that a death having taken place for the redemption of the transgressions that were under the first covenant, they that have been called may receive the promise of the eternal inheritance.