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In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. [5]
In Maths, sets a well-defined collection of objects or elements, where the order of sets does not matter. Learn representation of sets, types of sets, formulas, operations on sets at BYJU’S.
What is a set? Well, simply put, it's a collection . First we specify a common property among "things" (we define this word later) and then we gather up all the "things" that have this common property.
Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set. Curly brackets are used while writing a set.
Intuitively, a set is a collection of objects with certain properties. The objects in a set are called the elements or members of the set . We usually use uppercase letters to denote sets and lowercase letters to denote elements of sets.
A set is a collection of mathematical objects. Mathematical objects can range from points in space to shapes, numbers, symbols, variables, other sets, and more. Each object in a set is referred to as an element. Below are a few examples of different types of sets.
At its most basic level, set theory describes the relationship between objects and whether they are elements (or members) of a given set. Sets are also objects, and thus can also be related to each other typically through use of various symbols and notations.
A set is a collection of objects (without repetitions). To describe a set, either list all its elements explicitly, or use a descriptive method. Intervals are sets of real numbers. The elements in a set can be any type of object, including sets. We can even have a set containing dissimilar elements.
A set is a collection of objects, considered as a mathematical object in its own right. (A helpful metaphor for a set is a cardboard box—the box can hold objects, and we can choose to think about the objects in the box individually, or to think about the box and its contents collectively as a single object.)
A set is an unordered group of items (called elements). For example, \ (\ {\text {cat}, \text {dog}, \text {fish}, \text {bird}\}\) is a set of animals, \ (\ {2,4,6,8,10\}\) is a set of even numbers, and \ (\ {a, b, c, d\}\) is a set of letters.