The symbol ∪ is the union symbol in set theory.
Understanding the Union Symbol ∪
The union symbol, denoted by ∪, represents an operation that combines elements from two or more sets into a single set. The resulting set includes all unique elements from the original sets.
Key Characteristics of the Union Operation
- Combines Sets: It merges the members of different sets.
- No Duplicates: If an element appears in multiple sets, it only appears once in the union.
- Set Notation: If set A = {1, 2, 3} and set B = {3, 4, 5}, then A ∪ B = {1, 2, 3, 4, 5}. The symbol "∪" indicates the union of A and B.
Practical Use of the Union Symbol
- Data Analysis: Merging datasets with unique entries.
- Database Operations: Combining the results of queries in databases.
- Logic: Representing the "OR" operation.
- Probability: Calculating the probability of either one or another event occurring.
Examples of Set Unions
- If A = {a, b} and B = {b, c}, then A ∪ B = {a, b, c}.
- If C = {1, 2, 3} and D = {4, 5}, then C ∪ D = {1, 2, 3, 4, 5}.
- If E = {x, y} and F = {x, y}, then E ∪ F = {x, y}.
Reference Information
The symbol ∪ is employed to denote the union of two sets. (20-Sept-2024)
