Intersection
In mathematics, the intersection refers to the set of elements that two or more sets have in common
In mathematics, the intersection refers to the set of elements that two or more sets have in common. In other words, if we have sets A and B, the intersection of A and B, denoted as A ∩ B, is the set that contains all the elements that are common to both sets.
To find the intersection of two sets, we need to identify the elements that are present in both sets. For example, consider the following two sets:
A = {1, 2, 3, 4}
B = {3, 4, 5, 6}
To find the intersection of A and B, we compare the elements in both sets and include only those elements that are present in both sets. In this case, the intersection would be:
A ∩ B = {3, 4}
This means that 3 and 4 are the elements that are common to both sets A and B.
It is important to note that if two sets have no elements in common, their intersection would be the empty set, denoted as ∅. For example, if we have sets C = {1, 2, 3} and D = {4, 5, 6}, then their intersection would be:
C ∩ D = ∅
In conclusion, the intersection of two sets is the set of elements that are present in both sets. It helps us identify the common elements shared by different sets and is a fundamental concept in set theory.
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