Set theory is used in a wide variety of applications. This lesson examines some of these applications including solving mathematical puzzles, searching on the Internet, and utilizing strategies to play games. First, consider some mathematical puzzles as well as how to solve them.

Draw a Venn diagram to represent the relationship between the sets X = {1, 2, 5, 6, 7, 9}, Y = {1, 3, 4, 5, 6, 8}, and Z = {3, 5, 6, 7, 8, 10}.

This Venn diagram represents the relationship between sets X , Y , and Z .