intersection (A B)
a set consisting of only the elements that are in both set A and set B (no repeating)
The intersection of two sets A and B, denoted by A ∩ B, is the set of all elements that are in both A and B. In other words, A ∩ B is the set of common elements of A and B.
To compute A ∩ B, we need to compare the elements of A and B and identify the ones that are in both sets.
For example, let A = {1, 2, 3, 4} and B = {2, 4, 6, 8}.
To find the intersection of A and B, we look for the elements that are in both sets:
A ∩ B = {2, 4}
We can also represent the intersection using a Venn diagram as the overlapping region of A and B. The elements in this region belong to both sets A and B.
It’s important to note that if A ∩ B is an empty set, i.e., A and B have no common elements, we say that A and B are disjoint sets.
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