What does the Bible say about the new covenant in Jeremiah 31:31?

Jeremiah 31:31 prophesies the establishment of a new covenant that differs significantly from the old covenant made with Israel at Sinai. This new covenant is characterized by God's grace and His promise to write His law on the hearts of His people, transforming their relationship with Him from a conditional one to an unconditional one based on grace. Unlike the old covenant, which was based on the people's obedience, the new covenant guarantees that they will all know God, for He will forgive their iniquity and remember their sin no more. This represents a shift from a works-based righteousness to one achieved solely through faith in Christ and His atoning sacrifice.