'House of Israel' in the Bible

For, finding fault with them, he saith - Lo! days are coming, saith the Lord, when I will conclude, for the house of Israel and the house of Judah, a covenant of a new sort:

Because, this, is the covenant which I will make with the house of Israel, after those days, saith the Lord: - giving my laws into their understanding, upon their hearts also, will I inscribe them: and I will become their God, and, they, shall become my people;