×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

### Create a StudySoup account

#### Be part of our community, it's free to join!

or

##### By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

## math 116 notes week 3

by: Stacey Boateng

16

0

3

# math 116 notes week 3 MATH 116

Marketplace > Radford University > Mathematics (M) > MATH 116 > math 116 notes week 3
Stacey Boateng
RU
GPA 3.2

### Unlock These Notes for FREE

Enter your email below and we will instantly email you these Notes for Math and Humanity

(Limited time offer)

Already have a StudySoup account? Login here

Unlock FREE Class Notes

### Enter your email below to receive Math and Humanity notes

Everyone needs better class notes. Enter your email and we will send you notes for this class for free.

## About this Document

I am so sorry I didn't upload last week, I was sick.
COURSE
Math and Humanity
PROF.
William Case
TYPE
Class Notes
PAGES
3
WORDS
CONCEPTS
math 116
KARMA
Free

## Popular in Mathematics (M)

This 3 page Class Notes was uploaded by Stacey Boateng on Sunday February 14, 2016. The Class Notes belongs to MATH 116 at Radford University taught by William Case in Spring 2016. Since its upload, it has received 16 views. For similar materials see Math and Humanity in Mathematics (M) at Radford University.

×

## Reviews for math 116 notes week 3

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 02/14/16
Math 116: Introduction to set and set notation. Set: a collection of objects, things or numbers.  The universal set it the set of all possible elements of a set used in the problem  Denoted by: Examples of sets:  1,2,3,4,5,6,7  Ron, Phil, Kate, Nate  Delaware, Virginia, California, Washington Roster Notation: all elements are listed one by one and separated by comas  {1,5,7,9,11} {Mark, Matt, Millie} Builder Set Notation: {x|x is a description}  Example: {x|x is an amino acid} Roster Notation Builder Set Notation {A,E,I,O,U} {x|x is a vowel} {Atlantic, Pacific, Indian} {x|x is an ocean} {3,6,9,12,14,16,18} {x|x is an odd number} Well Defined Set:  A set is well defined if the elements of the set are clearly defined  If a set is well defined, then there should not be any confusion of what the elements are in the set. Examples:  x|x is a vowel: well defined  x|x is a beautiful person: not well defined Write the following sets in builder set notation:  {Virginia, Vermont}: {x|x is a state that begins with V}  {1.4.9.16.25.36.40.64.81.100}: {x|x is a square}  {Iowa, Utah, Ohio}:{x|x is a state with 4 letters} Write the following in roster set notation: {x|x is a state that begins with I}: {Indiana, Iowa, Idaho, Illinois} {x|x is a state that boarders Virginia}: {Maryland, West Virginia, Tennessee, North Carolina, Kentucky} Important Sets:  Natural numbers/ counting numbers: N= {1,2,3,4….}  Whole numbers: W= {0,1,2,3,4,5,6….}  Integers: Z= {-5, -4, -3, -2, -1….} Important symbols: Empty Set: a set that contains no elements, also called the null set{} True of False: B  {A,B,C,D,E}: True A  {{A}, {B},{C},{D}}: False Equivalent Sets: they are equivalent if they have the same number of elements  Example: {1,2,3} and {A, B, C}  Symbol:  Are the following sets equivalent?  {A, B, C}  {E, F, G} Subsets:  A set B is a subset of C. every element in B is an element of C  Symbolically B is a subset of c is written as: B  C Example: Is A a subset of C? Yes, because every element in set A also Lies in set C A= {1,2,3,4,5} C= {1,2,3,4,5,6,7} Proper subset:  A set B is a proper subset if C if every element of B is an element of set C and has at least one element that does not lie in set B Example: Is A a proper subset of C? A  C, yes because every element that lies in set A also lies in set C with an extra element. A= {1,2,3,4,5} C= {1,2,3,4,5,6,7} List all of the possible subsets of {A, B, C} {A} {B} {C} {} {A,B} {B,C} {A,C} Number of elements in Set Subsets 0 0 1=2 1 2=2 1 2 4=2 2 3 3 8=2 4 16=2 4 5 32=2 5 6 6 64=2  Formula to find the number of subsets of a given set A with n elements: n  S=2  S= 26  S=64 Example: how many subsets does a set with 10 elements have?  S= 2n 10  S= 2  S= 1024

×

×

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

×

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Janice Dongeun University of Washington

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

Bentley McCaw University of Florida

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.