In mathematics, a set is a collection of different things The things are elements or members of the set and are typically mathematical objects Numbers, symbols, points in space, lines, other geometric shapes, variables, or other sets A set may be finite or infinite There is a unique set. 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. Sets are defined as a collection of distinct elements The elements of a set share a common characteristic among them Learn about sets definition, representation, types, symbols, formulas, and their properties with some solved examples. When talking about sets, it is fairly standard to use capital letters to represent the set, and lowercase letters to represent an element in that set So for example, a is a set, and a is an element in a
Sets are written using set braces {} For example, {1,2,3} is the set containing the elements 1, 2, and 3 Order does not matter in a set The sets {a,b,c} and {c,a,b} are the same set Repetition does not matter either, so {a,b} and {a,a,b,b,b} are the same set. Learn about different forms and types of sets to solve related problems using venn diagrams and formulas.
The most common set operations, such as union, intersection, disjoint, set difference, etc., will be explored in detail below, including their definitions, examples, and venn diagrams. A set is a collection of things, usually numbers We can list each element (or member) of a set inside curly brackets like this 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. Sets are defined as a group of distinct elements
