Sets and Types of Sets

  • A set is a well-defined collection of objects.
  • Empty set: A set which has no element. Symbol "φ".
  • Singleton set: A set having only one element.
  • Finite set: A set which has finite number of elements.
  • Infinite set: A set which has infinite number of elements.
  • Equal sets: Two sets A and B are said to be equal, written as A = B, if every element of A is in B and vice versa.
  • A set does not change if one or more elememts of the set are repeated. for example, the sets A = { 2, 3, 4 } and B = { 2, 2, 3, 4 } are equal, since each element of A is in B and vice-versa. that is why we generally do not repeat any element in describing a set.
  • Equivalent sets: If n(A) = n(B) when A, B are given sets.

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