Sets

1234567891011121314151617
Across
  1. 3. Set The set of all subsets of a set A, including the empty set and A itself.
  2. 6. The set that contains all objects or elements under consideration, usually denoted by U.
  3. 7. A set with an infinite number of elements.
  4. 10. The set of all ordered pairs obtained from two sets A and B, denoted A × B.
  5. 11. - A set A is a subset of a set B if all elements of A are also elements of B, denoted A ⊆ B.
  6. 12. A set with no elements, denoted as ∅ or {}.
  7. 13. Sets Two sets that have no elements in common, denoted A ∩ B = ∅.
  8. 15. - A set A is a proper subset of a set B if all elements of A are in B, and B contains at least one element not in A, denoted A ⊂ B.
  9. 17. The set of elements that are common to two sets A and B, denoted A ∩ B.
Down
  1. 1. The set of all elements that are in either set A or set B or in both, denoted A ∪ B.
  2. 2. The number of elements in a set.
  3. 4. A set with a finite number of elements.
  4. 5. A diagram that shows all possible logical relations between a finite collection of different sets.
  5. 8. A pair of elements with order taken into account, usually written as (a, b).
  6. 9. The set of all elements in the universal set that are not in set A, denoted A'.
  7. 13. The set of elements that are in set A but not in set B, denoted A - B.
  8. 14. An object that belongs to a set.
  9. 16. A collection of distinct objects, considered as an object in its own right.