'All Israel' in the Bible

And there dwelt the priests and the Levites and the gatekeepers, and those singing, and from the people and the Nethinims, and all Israel in their cities; and the seventh month will draw near, and the sons of Israel in their cities.

And all Israel in the days of Zerubbabel, and in the days of Nehemiah giving, portions, of the singers and the gate-keepers, the word of a day in its day: and consecrating to the Levites; and the Levites consecrating to the sons of Aaron.

Did not Solomon king of Israel sin concerning these? and in many nations was there not a king like him, and he was loved by his God, and God will give him king over all Israel: also him did women strangers cause to sin.