Introduction to Sets

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Elements are the objects in a set and are denoted using the symbol ε.

A subset is a set whose elements are all members of another set.

A set is typically represented using capital letters and enclosed in curly braces, e.g., { A }.

<p>Set A = { days in a week }, A = { Mon, Tue, Wed, Thu, Fri, Sat, Sun }.</p> Signup and view all the answers

<p>'December' is not an element of set A because A is defined as containing days of the week, not months.</p> Signup and view all the answers

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Definition: Sets are collections of data or elements, represented typically with curly braces.
Elements: Objects within a set, identified with capital letters.
Example of a Set: "A set of the English alphabet" corresponds to the letters A-Z.

Example Set A: Defined as the set of days in a week.
Elements of Set A: { Mon, Tue, Wed, Thu, Fri, Sat, Sun } represent the seven days.

Element Symbol: Denoted by the symbol ε, indicating membership within a set.

Definition: A subset includes elements that are entirely within another set.
Example Context: A person belonging to multiple fandoms can be viewed as a subset related to various interests.

Case Study - "Monday": Classified as an element of Set A.
Case Study - "December": Not an element of Set A since it does not belong to the category of days.