Sets

A set is a well

A set is a well-defined collection of distinct objects, and the objects in a set are called elements. Sets are generally denoted by capital letters.

In roster form

In roster form, all elements are listed inside braces and the order does not matter. Elements are not repeated. In set-builder form, a common property

A set with no elements

A set with no elements is called the empty set, null set, or void set. It is denoted by φ or { }. The empty set is different from {0}, because {0} con

The universal set is the overall

The universal set is the overall set containing all elements under consideration in a given context. It is denoted by μ or U and is shown by a rectang

A set A is a subset

A set A is a subset of B if every element of A is also an element of B. The symbol ⊂ denotes proper subset, while ⊆ denotes subset. The null set is a