IS AN ELEMENT OF Meaning and
Definition
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"Is an element of" is a phrase used in set theory to express the membership relation between an individual item and a set. It is denoted by the symbol "∈." When referring to an item "x" being an element of a set "A," the statement "x ∈ A" signifies that "x" is a member or part of the set "A."
In simpler terms, the phrase "is an element of" indicates that a specific object or individual belongs to a particular collection or group of objects. For example, consider the set of prime numbers "P" = {2, 3, 5, 7, 11}. If we say that the number 7 ∈ P, we are stating that 7 is a member of the set of prime numbers, as 7 is indeed a prime number.
The concept of membership is fundamental in set theory, allowing for the classification and organization of various objects into distinct sets. It enables mathematicians to define relationships, perform operations, and study the properties of different sets. Additionally, the lack of membership can also be denoted by the symbol "∉." Thus, if we state that 6 ∉ P, we are asserting that 6 is not a member of the set of prime numbers, which is accurate since 6 is divisible by 2 and 3, thus not being prime.
Common Misspellings for IS AN ELEMENT OF
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