Set Theory: Union, Intersection and Subsets Union The union of two sets is a set containing all elements in either set. Example: {1, 2, 3} ∪ {3, 4...
Set Theory: Union, Intersection and Subsets
Union
The union of two sets is a set containing all elements in either set.
Example:
Intersection
The intersection of two sets is a set containing only elements that are in both sets.
Example:
Subset
A subset of a set is a set of elements that is contained within the original set.
Example:
Key Differences
Union: All elements in either set are included.
Intersection: Only elements that are in both sets are included.
Subset: A subset contains only elements that are in the original set.
Applications
Set theory is used in various mathematical fields, including logic, probability, and algebra. It helps to define sets, determine their properties, and solve problems involving sets