What is the new covenant?

What does the Bible mean when it talks about a new covenant between us and God? The new covenant is the ultimate solution to human rebellion. It's in the Bible, Jeremiah 31:33, NIV. "This is the covenant I will make with the house of Israel after that time," declares the Lord. "I will put My law in their minds and write it on their hearts. I will be their God, and they will be My people."

The new covenant comes through the death of Jesus Christ. It's in the Bible, Luke 22:20, NIV. "In the same way, after the supper He took the cup, saying, 'This cup is the new covenant in My blood, which is poured out for you."

The new covenant means we can go directly to God through Christ. It's in the Bible, Hebrews 7:22, NIV. "Because of this oath, Jesus has become the guarantee of a better covenant."

There is forgiveness of sins only through the new covenant. It's in the Bible, Hebrews 9:14-15, NIV. "How much more, then, will the blood of Christ, who through the eternal Spirit offered Himself unblemished to God, cleanse our consciences from acts that lead to death, so that we may serve the living God! For this reason Christ is the mediator of a new covenant, that those who are called may receive the promised eternal inheritance—now that He has died as a ransom to set them free from the sins committed under the first covenant."

Under the old covenant, what did the people promise to do? It's in the Bible, Exodus 24:3, NIV. "When Moses went and told the people all the Lord's words and laws, they responded with one voice, 'Everything the Lord has said we will do.'"

Under the new covenant, what does God promise to do? It's in the Bible, Hebrews 8:10, NIV. "This is the covenant I will make with the house of Israel after that time, declares the Lord. I will put My laws in their minds and write them on their hearts. I will be their God, and they will be My people."