The set containing all the elements that are common to both set A and set B is called the intersection of the two sets.
The intersection of sets is a fundamental concept in set theory, which is a branch of mathematical logic. It can be denoted by the symbol ‘∩’. For example, if we have two sets, A and B, the intersection can be expressed as A ∩ B. This set will include all the elements that both sets share.
For instance, if set A = {1, 2, 3, 4} and set B = {3, 4, 5, 6}, then the intersection A ∩ B would yield {3, 4}. Understanding intersections is essential for solving problems that involve relationships between different groups or categories.