Use set notation, and list all the elements of each set. {12, 13, 14,..., 20}

Key Concepts

Set Notation

Set notation is a mathematical way to describe a collection of distinct objects, known as elements. It typically uses curly braces to enclose the elements, such as {a, b, c}. Understanding set notation is essential for identifying and listing elements within a set, as well as for performing operations like unions and intersections.

Element Listing

Element listing involves explicitly writing out all the members of a set. For example, the set {12, 13, 14, ..., 20} indicates a sequence of integers from 12 to 20. This concept is crucial for accurately representing the contents of a set and ensuring clarity in mathematical communication.

Set Representation

Set representation can be done in various forms, including roster form and set-builder notation. Roster form lists all elements explicitly, while set-builder notation describes the properties that define the elements of the set. Understanding these representations helps in interpreting and manipulating sets effectively in algebra.