MATH 1.2 : Set Operations

• Union of Sets

  The union of sets A and B (denoted by A∪B) is the set that contains all the elements of both sets A and B.

  Example:

  If A={a,c, e} and B={b, d, f}, then A∪B={a, b, c, d, e, f}.
• Intersection of Sets

  The intersection of sets A and B (denoted by A∩B) is the set that contains all the elements common to both sets A and B.

  Example:

  If A={1, 2, 3, 4, 5} and B={1, 3, 5, 7, 9}, then A∩B={1, 3, 5}.
• Difference of Sets

  The difference of sets A and B (denoted by A-B) is the set that contains all the elements in A which are not in B.

  Example:

  If A={1, 3, 5, 7, 9} and B={1, 2, 3, 4, 5}, then A-B={7, 9}.
• Complement of Set

  The complement of set A (denoted by A′) is the set that contains all the elements in the universal set that are not in set A.

  Example:

  If U={1, 2, 3, 4, 5} and A={1, 3, 5}, then A′={2, 4}.
• ●The union of two sets is the set that contains all the elements of both given sets 𝐴 and 𝐵.
• The intersection of two sets is the set that contains all the elements common to both given sets 𝐴 and B
• The difference of two sets is the set that contains all the elements in set 𝐴 which are not in set 𝐵
• ●The complement of a set is the set that contains all the elements in the universal set that are not in set 𝐴.