Call Now to Set Up Tutoring:

(888) 888-0446

Introduction to Proofs : Intro to Proofs

Study concepts, example questions & explanations for Introduction to Proofs

Create An Account

All Introduction to Proofs Resources

2 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Intro To Proofs

$\\A= \left\{4, 12, 20, 25, 28\right\} \\B= \left\{\varnothing, 4, 8, 19, 22, 28\right\} \\C= \left\{\varnothing, 3, 4, 8, 13, 14\right\}$

Find the cardinality of $B\cap B$ $\displaystyle B\cap B$

Possible Answers:

$\displaystyle 6$

$\displaystyle 10$

$\displaystyle 0$

$\displaystyle 5$

$\displaystyle 7$

Correct answer:

$\displaystyle 6$

Explanation:

The question is asking us to find the number of elements in the intersection of B and B .

We simply find the common elements of the two sets, and count the number of elements.

$B\cap B = \left\{\varnothing, 4, 8, 19, 22, 28\right\}$
Now we simply count the number of elements in this set.

$\displaystyle 6$

Report an Error

Example Question #2 : Intro To Proofs

$\\A= \left\{6, 7, 10, 11, 19, 24\right\} \\B= \left\{5, 8, 15, 17, 19, 28\right\} \\C= \left\{1, 2, 3, 7, 9, 14\right\}$ $\displaystyle \\A= \left\{6, 7, 10, 11, 19, 24\right\} \\B= \left\{5, 8, 15, 17, 19, 28\right\} \\C= \left\{1, 2, 3, 7, 9, 14\right\}$

Find the cardinality of $A\cap B$ $\displaystyle A\cap B$ .

Possible Answers:

$\displaystyle 0$

$\displaystyle 2$

$\displaystyle 0$

$\displaystyle 1$

$\displaystyle 13$

Correct answer:

$\displaystyle 1$

Explanation:

The question is asking us to find the number of elements in the intersection of A and B .

We simply find the common elements of the two sets, and count the number of elements.

$A\cap B = \left\{19\right\}$ $\displaystyle A\cap B = \left\{19\right\}$
Now we simply count the number of elements in this set.

$\displaystyle 1$

Report an Error

Example Question #3 : Intro To Proofs

$\\A= \left\{3, 4, 9, 10, 11, 16\right\} \\B= \left\{2, 7, 10, 15, 16\right\} \\C= \left\{\varnothing, 8, 14, 17, 18\right\}$

Find the cardinality of $A\cup A$ $\displaystyle A\cup A$ .

Possible Answers:

$\displaystyle 13$

$\displaystyle 0$

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 7$

Correct answer:

$\displaystyle 6$

Explanation:

The question is asking us to find the number of elements in the union of A and A .

We simply combine the two sets together, and count the number of elements. If there are any elements that are the same, we keep one of them, and not both.

$A\cup A = \left\{3, 4, 9, 10, 11, 16\right\}$ $\displaystyle A\cup A = \left\{3, 4, 9, 10, 11, 16\right\}$

Now we simply count the number of elements in this set.

$\displaystyle 6$

Report an Error

Example Question #4 : Intro To Proofs

$\\A= \left\{3, 8, 10, 21, 27, 29\right\} \\B= \left\{5, 10, 11, 18, 21\right\} \\C= \left\{\varnothing, 1, 2, 7, 9\right\}$

Find the cardinality of $B\cap B$ $\displaystyle B\cap B$ .

Possible Answers:

$\displaystyle 10$

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 0$

$\displaystyle 4$

Correct answer:

$\displaystyle 5$

Explanation:

The question is asking us to find the number of elements in the intersection of B and B .

We simply find the common elements of the two sets, and count the number of elements.

$B\cap B = \left\{5, 10, 11, 18, 21\right\}$ $\displaystyle B\cap B = \left\{5, 10, 11, 18, 21\right\}$

Now we simply count the number of elements in this set.

$\displaystyle 5$

Report an Error

Example Question #5 : Intro To Proofs

$\\A= \left\{5, 10, 12, 13, 18, 21\right\} \\B= \left\{\varnothing, 3, 4, 7, 10, 16\right\} \\C= \left\{2, 4, 5, 7, 13\right\}$

Find the cardinality of $A\cap B$ $\displaystyle A\cap B$ .

Possible Answers:

$\displaystyle 2$

$\displaystyle 14$

$\displaystyle 1$

$\displaystyle 0$

Correct answer:

$\displaystyle 1$

Explanation:

The question is asking us to find the number of elements in the intersection of A and B .

We simply find the common elements of the two sets, and count the number of elements.

$A\cap B = \left\{10\right\}$ $\displaystyle A\cap B = \left\{10\right\}$

Now we simply count the number of elements in this set.

$\displaystyle 1$

Report an Error

Example Question #6 : Intro To Proofs

$\\A= \left\{11, 12, 13, 14, 18\right\} \\B= \left\{1, 10, 11, 14, 16\right\} \\C= \left\{3, 6, 8, 10, 17\right\}$ $\displaystyle \\A= \left\{11, 12, 13, 14, 18\right\} \\B= \left\{1, 10, 11, 14, 16\right\} \\C= \left\{3, 6, 8, 10, 17\right\}$

Find the cardinality of $B\cup A$ $\displaystyle B\cup A$ .

Possible Answers:

$\displaystyle 0$

$\displaystyle 8$

$\displaystyle 12$

$\displaystyle 9$

$\displaystyle 7$

Correct answer:

$\displaystyle 8$

Explanation:

The question is asking us to find the number of elements in the union of B and A .

We simply combine the two sets together, and count the number of elements. If there are any elements that are the same, we keep one of them, and not both.

$B\cup A = \left\{1, 10, 11, 12, 13, 14, 16, 18\right\}$ $\displaystyle B\cup A = \left\{1, 10, 11, 12, 13, 14, 16, 18\right\}$

Now we simply count the number of elements in this set.

$\displaystyle 8$

Report an Error

Example Question #7 : Intro To Proofs

$\\A= \left\{9, 10, 16, 17, 19\right\} \\B= \left\{3, 6, 8, 18\right\} \\C= \left\{1, 7, 8, 10\right\}$ $\displaystyle \\A= \left\{9, 10, 16, 17, 19\right\} \\B= \left\{3, 6, 8, 18\right\} \\C= \left\{1, 7, 8, 10\right\}$

Find the cardinality of $A\cup A$ $\displaystyle A\cup A$ .

Possible Answers:

$\displaystyle 5$

$\displaystyle 13$

$\displaystyle 0$

$\displaystyle 4$

$\displaystyle 6$

Correct answer:

$\displaystyle 5$

Explanation:

The question is asking us to find the number of elements in the union of A and A .

We simply combine the two sets together, and count the number of elements. If there are any elements that are the same, we keep one of them, and not both.

$A\cup A = \left\{9, 10, 16, 17, 19\right\}$ $\displaystyle A\cup A = \left\{9, 10, 16, 17, 19\right\}$

Now we simply count the number of elements in this set.

$\displaystyle 5$

Report an Error

Example Question #8 : Intro To Proofs

$\\A= \left\{1, 2, 4, 6, 11, 21\right\} \\B= \left\{3, 10, 13, 14, 21, 22\right\} \\C= \left\{2, 4, 5, 8, 12, 14\right\}$ $\displaystyle \\A= \left\{1, 2, 4, 6, 11, 21\right\} \\B= \left\{3, 10, 13, 14, 21, 22\right\} \\C= \left\{2, 4, 5, 8, 12, 14\right\}$

Find the cardinality of $A\cap B$ $\displaystyle A\cap B$ .

Possible Answers:

$\displaystyle 0$

$\displaystyle 12$

$\displaystyle 2$

$\displaystyle 1$

Correct answer:

$\displaystyle 1$

Explanation:

The question is asking us to find the number of elements in the intersection of A and B .

We simply find the common elements of the two sets, and count the number of elements.

$A\cap B = \left\{21\right\}$ $\displaystyle A\cap B = \left\{21\right\}$

Now we simply count the number of elements in this set.

$\displaystyle 1$

Report an Error

Example Question #9 : Intro To Proofs

$\\A= \left\{12, 22, 26, 28, 29\right\} \\B= \left\{1, 4, 14, 15, 22, 24\right\} \\C= \left\{\varnothing, 2, 4, 8, 13, 14\right\}$

Find the cardinality of $A\cap A$ $\displaystyle A\cap A$ .

Possible Answers:

$\displaystyle 0$

$\displaystyle 5$

$\displaystyle 10$

$\displaystyle 6$

$\displaystyle 4$

Correct answer:

$\displaystyle 5$

Explanation:

The question is asking us to find the number of elements in the intersection of A and A .

We simply find the common elements of the two sets, and count the number of elements.

$A\cap A = \left\{12, 22, 26, 28, 29\right\}$ $\displaystyle A\cap A = \left\{12, 22, 26, 28, 29\right\}$

Now we simply count the number of elements in this set.

$\displaystyle 5$

Report an Error

Example Question #1 : Functions, Relations, & Cardinality

$\\A= \left\{\varnothing, 3, 11, 13, 16, 19\right\} \\B= \left\{\varnothing, 3, 4, 11, 16\right\} \\C= \left\{\varnothing, 2, 12, 19\right\}$

Find the cardinality of $A\cup A$ $\displaystyle A\cup A$ .

Possible Answers:

$\displaystyle 11$

$\displaystyle 6$

$\displaystyle 7$

$\displaystyle 0$

$\displaystyle 5$

Correct answer:

$\displaystyle 6$

Explanation:

The question is asking us to find the number of elements in the union of A and A .

We simply combine the two sets together, and count the number of elements. If there are any elements that are the same, we keep one of them, and not both.

$A\cup A = \left\{\varnothing, 3, 11, 13, 16, 19\right\}$

Now we simply count the number of elements in this set.

$\displaystyle 6$

Report an Error

View Tutors

Luis
Certified Tutor

State University of New York at New Paltz, Doctor of Science, Health Physics.

View Tutors

Reivin
Certified Tutor

Oberlin College, Bachelors, African American Studies.

View Tutors

Isabella
Certified Tutor

University of California-San Diego, Bachelor of Science, Cognitive Science.

All Introduction to Proofs Resources

2 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Houston, MCAT Tutors in San Diego, Physics Tutors in San Diego, Statistics Tutors in New York City, Math Tutors in Miami, Spanish Tutors in Boston, Biology Tutors in Seattle, GMAT Tutors in Chicago, GRE Tutors in Seattle, Chemistry Tutors in Boston

Popular Courses & Classes

GMAT Courses & Classes in Denver, SSAT Courses & Classes in San Diego, GMAT Courses & Classes in Houston, GRE Courses & Classes in Seattle, SSAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Boston, SSAT Courses & Classes in Atlanta, GRE Courses & Classes in Miami, ISEE Courses & Classes in Denver, ISEE Courses & Classes in New York City

Popular Test Prep

LSAT Test Prep in Houston, GRE Test Prep in New York City, ACT Test Prep in Denver, SSAT Test Prep in Atlanta, MCAT Test Prep in Washington DC, SAT Test Prep in Denver, MCAT Test Prep in Los Angeles, GRE Test Prep in Atlanta, GMAT Test Prep in Denver, SAT 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

Introduction to Proofs : Intro to Proofs

Study concepts, example questions & explanations for Introduction to Proofs

All Introduction to Proofs Resources

Example Questions

Example Question #1 : Intro To Proofs

Example Question #2 : Intro To Proofs

Example Question #3 : Intro To Proofs

Example Question #4 : Intro To Proofs

Example Question #5 : Intro To Proofs

Example Question #6 : Intro To Proofs

Example Question #7 : Intro To Proofs

Example Question #8 : Intro To Proofs

Example Question #9 : Intro To Proofs

Example Question #1 : Functions, Relations, & Cardinality

All Introduction to Proofs Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: