'All Israel' in the Bible

So the priests, the Levites, the gatekeepers, the singers, some of the people, the temple servants, and all Israel settled in their cities. When the seventh month came, the {Israelites} [were] in their cities.

Did not King Solomon of Israel sin in this way? And among the many nations there was no king like him, and he was beloved by his God, and God made him king over all Israel. Yet the foreign women made even him sin.