In mathematics, a set is a collection of distinct, well-defined objects or elements. These elements can be numbers, symbols, or any other mathematical objects. A set is typically represented by a capital letter and the elements are enclosed in curly brackets. For example, the set A = {1, 2, 3, 4, 5} is a collection of the first five natural numbers. Sets can be classified into various types such as empty sets, finite sets, infinite sets, equal sets, subsets, and the universal set. They can be represented in different forms, including roster form, statement form, and set builder form. Sets are fundamental in mathematics and are used to define the basic operations such as union, intersection, complement, and Cartesian product
. Sets are also used in the context of exercise, where a "set" refers to how many times a specific exercise should be performed. For example, doing 10 to 12 repetitions of an exercise constitutes one set
. In summary, a set in mathematics is a fundamental concept that represents a collection of distinct objects, and it plays a crucial role in various mathematical operations and structures.
