Ch. R - Review of Basic Concepts

Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook

Lial 13th Edition

Ch. R - Review of Basic Concepts

Problem 19

Chapter 1, Problem 19

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

Verified step by step guidance

Identify the set given: {12, 13, 14, ..., 20}. This set includes all integers starting from 12 up to 20.

Understand that the ellipsis (...) means the set contains all consecutive integers between the first and last numbers listed.

List all the elements explicitly by writing out each integer from 12 to 20: 12, 13, 14, 15, 16, 17, 18, 19, 20.

Write the set in set notation by enclosing all these elements in curly braces: {12, 13, 14, 15, 16, 17, 18, 19, 20}.

Confirm that the set includes only these integers and no others, as the problem specifies the range from 12 to 20.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Set Notation

Set notation is a way to describe a collection of distinct objects, called elements, using curly braces {}. Elements inside the braces are listed or described by a rule. For example, {1, 2, 3} lists elements explicitly, while {x | x > 0} describes elements by a condition.

Listing Elements of a Set

Listing elements means writing out all members of a set explicitly. When given a range or pattern, you identify each element that fits the criteria and write them separated by commas inside braces. For example, {12, 13, 14, ..., 20} means all integers from 12 to 20 inclusive.

Understanding Ellipsis (...) in Sets

The ellipsis (...) indicates a continuation of a pattern in a set. It shows that elements follow a sequence without listing every element. To list all elements, you replace the ellipsis with the missing elements that continue the pattern, ensuring the set is complete.

Recommended video:

03:42

Finding Zeros & Their Multiplicity

Related Practice

Textbook Question

Write each improper fraction as a mixed number. 77/12

views

Textbook Question

Determine whether each statement is true or false. |5+(-13) | = |5| + |-13|

views

Textbook Question

Find the domain of each rational expression. x³ - 1 / x - 1

views

Textbook Question

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. $(2 / 3) t^{6} + (3 / t^{5}) + 1$

views

Textbook Question

Factor out the greatest common factor from each polynomial. See Example 1. $4 k^{2} m^{3} + 8 k^{4} m^{3} - 12 k^{2} m^{4}$

Textbook Question

Determine whether each statement is true or false. |8-12| = |8| - |12|

views