Unravel the mysteries of set theory with our free Union and Intersection Calculator. Quickly find the union (A ∪ B) and intersection (A ∩ B) of any two sets. Ideal for students, educators, and anyone working with data sets, this tool simplifies complex calculations for better understanding and accuracy.
Formula:
Understanding the fundamental operations of set theory is crucial. Our calculator simplifies these concepts:
- Union (A ∪ B): The union of two sets A and B, denoted by A ∪ B, is the set of all elements that are in A, or in B, or in both.
Formula: A ∪ B = {x | x ∈ A or x ∈ B} - Intersection (A ∩ B): The intersection of two sets A and B, denoted by A ∩ B, is the set of all elements that are common to both A and B.
Formula: A ∩ B = {x | x ∈ A and x ∈ B}
Simply enter your set elements, separated by commas, to get instant results!