A set is the representation of a collection of objects; distinct objects with one or more common properties. Grouping up the objects in a set is an act of distinguishing those objects from the members of another set. We can use the terms – elements or members of a set instead of the term objects.

How to denote Sets?

If ‘A’ is a set and ‘a’ one of its elements then: ‘a ∈ A’ denotes that element ‘a’ belongs to ‘A’ whereas, ‘a ∉ A’ denotes that ‘a’ is not an element of A. Alternatively, we can say that ‘A’ contains ‘a’. A set is usually represented by capital letters and an element of the set by the small letter.


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