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

Verified step by step guidance

1. Identify the pattern in the given set: {12, 13, 14, ..., 20}.
2. Recognize that the set is a sequence of consecutive integers starting from 12 and ending at 20.
3. List all the elements of the set by continuing the sequence: 12, 13, 14, 15, 16, 17, 18, 19, 20.
4. Use set notation to express the complete set: {12, 13, 14, 15, 16, 17, 18, 19, 20}.
5. Verify that all elements from the starting number (12) to the ending number (20) are included in the set.

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.