As Helen points out, a great study of "elect" is found here:
http://www.setterfield.org/elect.htm
As I and others have pointed out so many times, Romans 9:1 thru Romans 11:36 is "the Jewish Interlude." In chapters 9, 10, and 11 Paul writes to Christians in Rome expressing his concern for his brethren in the flesh, the Jews. His prayer for them is that they might be saved. One reads these three chapters with great care, asking the usual questions: Who is writing, to whom is he writing, what is he writing about? The answer is clear in that context. Take good notes!
A born-again Christian can quite easily read Romans chapter 8, culminating in that awesome, tremendous crescendo in 33-39, skip over to Romans 12:1, without missing a beat. It's a great way to finally understand not only this particular section of the Book of Romans, but the ministry of Jesus Christ first to the Jews, and thru Paul, to the Gentiles, his heart breaking for Israel who rejected their Messiah.
I don't think I need to repeat here those times that Jesus said he came only to the lost sheep of the House of Israel. If you don't understand that, flip over to 1 Corinthians 2:1-16 for a refresher in spiritual discernment of Holy Writ. Where it says "the
mind of Christ," insert a little asterisk by
mind, and in your notes write *"spiritual wisdom and understanding."