set theory

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Across
  1. 3. (⊃)Indicates that one set is a superset of another set but not equal to it.
  2. 8. (×)Denotes the two sets, typically written as A × B. It represents the set of all possible ordered pairs where the first element is from set A and the second element is from set B.
  3. 11. (a, b) Represents a pair of elements, where ‘a’ is the first element and ‘b’ is the second element.
  4. 13. (∅) Denotes the set with no elements.
  5. 14. (∈) Indicates that an element belongs to a particular set.
  6. 15. (∩)Represents the set containing all elements that are in both of the two sets.
Down
  1. 1. that one set is a subset of another set but not equal to it.
  2. 2. (∆)Objects that belongs to A or B but not their intersection.
  3. 4. (∪)Represents the set containing all elements that are in at least one of the two sets.
  4. 5. (⊆)Signifies that one set is a subset of or equal to another set.
  5. 6. (=) Both set have the same members.
  6. 7. the number of elements in a set.
  7. 9. (A^c) Represents the set of all elements that are not in a given set.
  8. 10. (∉) Indicates that an element does not belong to a particular set.
  9. 12. (⊇) Signifies that one set is a superset of or equal to another set.