Section outline

  • In general we use capital letters to denote a set and curly brackets. For example, sets of polygons can be shown as: \(A=\){square, triangle, star, pentagon}, \(B=\){pentagon, diamond, trapezium}. The set \(A\) has 4 elements and set \(B\) has 3 elements. 

    The next video discusses more of the basics you need to know about sets.

    • Unions and intersections

      You will notice that the shape 'pentagon' is found in both sets \(A=\) and \(B\) from the previous example. The repeated element in both sets is called the intersection and is shown using the symbol \(\cap \). We can represent this intersection using a Venn diagram

      You will also see the word 'union' used a lot in set theory. The concepts of unions, intersections and Venn diagrams are discussed in more detail in the next video.