Call Now to Set Up Tutoring:

(888) 888-0446

Theory of Positive Integers : Cardinality

Study concepts, example questions & explanations for Theory of Positive Integers

Create An Account

All Theory of Positive Integers Resources

5 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Cardinality

Which of the following is a classification of a set whose cardinality is infinite?

Possible Answers:

Positively

Countably

Negatively

None of the answers

Continuously

Correct answer:

Countably

Explanation:

If a set is stated to have infinite cardinality then it will fall one of the following categories,

I. Countably

II. Uncountably

Countably infinite sets are those that the elements within the set are able to be counted.

For example, the set of natural numbers

$\mathbb{N}:\begin{Bmatrix} 0,1,2,3,3,...,n \end{Bmatrix}$

is a countably infinite set.

Uncountably infinite sets are those that the elements cannot be counted.

For example, the set of real numbers,

$\mathbb{R}:\begin{Bmatrix} ...,-1,-\frac{2}{3},0.4567786,5,\frac{145}{2},... \end{Bmatrix}$

The reason the set of real numbers is not countable is because there are infinitely many elements between each element. This differs from the natural numbers because in the natural numbers there are no elements between elements.

Therefore the correct solution is "countably".

Report an Error

Example Question #2 : Cardinality

Which of the following is a classification of a set whose cardinality is infinite?

Possible Answers:

Positively

Negatively

Uncountably

Infinitely

None of the answers

Correct answer:

Uncountably

Explanation:

If a set is stated to have infinite cardinality then it will fall one of the following categories,

I. Countably

II. Uncountably

Countably infinite sets are those that the elements within the set are able to be counted.

For example, the set of natural numbers

$\mathbb{N}:\begin{Bmatrix} 0,1,2,3,3,...,n \end{Bmatrix}$

is a countably infinite set.

Uncountably infinite sets are those that the elements cannot be counted.

For example, the set of real numbers,

$\mathbb{R}:\begin{Bmatrix} ...,-1,-\frac{2}{3},0.4567786,5,\frac{145}{2},... \end{Bmatrix}$

Therefore the correct solution is "uncountably".

Report an Error

View Tutors

Joseph
Certified Tutor

University of Waterloo, Doctor of Philosophy, Applied Mathematics.

View Tutors

Saachi
Certified Tutor

Texas A & M University-College Station, Bachelor of Science, Statistics.

View Tutors

Roberto
Certified Tutor

University of Havana, Bachelor of Science, Biochemistry.

All Theory of Positive Integers Resources

5 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Spanish Tutors in Miami, SAT Tutors in Philadelphia, English Tutors in New York City, ACT Tutors in Phoenix, Math Tutors in Washington DC, French Tutors in Philadelphia, French Tutors in Denver, LSAT Tutors in San Francisco-Bay Area, Chemistry Tutors in Phoenix, GMAT Tutors in Philadelphia

Popular Courses & Classes

Spanish Courses & Classes in Phoenix, SAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Phoenix, SAT Courses & Classes in Phoenix, LSAT Courses & Classes in Atlanta, SSAT Courses & Classes in Phoenix, ISEE Courses & Classes in Philadelphia, GMAT Courses & Classes in New York City, LSAT Courses & Classes in New York City, GRE Courses & Classes in Houston

Popular Test Prep

ACT Test Prep in Phoenix, GRE Test Prep in Los Angeles, GRE Test Prep in Seattle, SAT Test Prep in Philadelphia, GMAT Test Prep in New York City, MCAT Test Prep in Washington DC, SSAT Test Prep in Washington DC, ACT Test Prep in Chicago, GRE Test Prep in Atlanta, ISEE Test Prep in San Diego

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Theory of Positive Integers : Cardinality

Study concepts, example questions & explanations for Theory of Positive Integers

All Theory of Positive Integers Resources

Example Questions

Example Question #1 : Cardinality

Example Question #2 : Cardinality

All Theory of Positive Integers Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: