Set Operations

• A union operation combines all the elements from both sets, where set A and B is denoted by A ∪ B.
• What is in the picture?

  A) Union

  
• What is in the picture?

  A) Union

  
• An intersection operation finds the elements that exist in both sets only, where set A and B is denoted by A ∩ B.
• What is in the picture?

  A) Intersection

  
• What is in the picture?

  A) Intersection

  
• A difference operation finds the elements that are unique in each set that is not an element of the other set, where set A and B is denoted by A - B.
• What is in the picture?

  A) Difference

  
• What is in the picture?

  A) Difference

  
• What is in the picture?

  A) Difference

  
• A complement operation finds all the elements that are “outside” of a given set, where set A is denoted by A’ or Aᶜ.
• What is in the picture?

  A) Complement

  
• What is in the picture?

  A) Complement

  
• What is in the picture?

  A) Complement

  
• A symmetric difference operation finds all the elements that are either elements of A and B but not in their intersection, where set A and B is denoted by A △ B or A ⊕ B.
• What is in the picture?

  A) symmetric difference

  
• What is in the picture?

  A) Symmetric Difference

  
• What is in the picture?

  A) Symmetric Difference

  
• When two sets, A and B, have no elements in common and their intersection is empty of non overlapping sets, they are considered disjoint.
• What is in the picture?

  A) Disjoint

  
• What is in the picture?

  A) Disjoint

  
• The cardinality of two (2) sets is to get the number of elements in both sets.
• What is in the picture?

  The Cardinality of Two Sets

  
• A Cartesian product is to combine elements from two or more sets to create all possible ordered sets of sets (pairs or tuples), where set A and set B are denoted as A x B.
• What is in the picture?

  Cartesian Product