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Contemporary Mathematics

Donna Kirk

Chapter 1

Sets Introduction - all with Video Answers

Educators


Section 1

Basic Set Concepts

01:06

Problem 1

For the following exercises, represent each set using the roster method.
The set of primary colors: red, yellow, and blue.

Ma. Theresa  Alin
Ma. Theresa Alin
Numerade Educator
01:06

Problem 2

For the following exercises, represent each set using the roster method.
A set of the following flowers: rose, tulip, marigold, iris, and lily.

Ma. Theresa  Alin
Ma. Theresa Alin
Numerade Educator
00:36

Problem 3

For the following exercises, represent each set using the roster method.
The set of natural numbers between 50 and 100 .

Julie Silva
Julie Silva
Numerade Educator
00:23

Problem 4

For the following exercises, represent each set using the roster method.
The set of natural numbers greater than 17.

Elizabeth Xu
Elizabeth Xu
Numerade Educator
02:45

Problem 5

For the following exercises, represent each set using the roster method.
The set of different pieces in a game of chess.

Alice .
Alice .
Numerade Educator
00:23

Problem 6

For the following exercises, represent each set using the roster method.
The set of natural numbers less than 21 .

Sneha Ravi
Sneha Ravi
Numerade Educator
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Problem 7

For the following exercises, represent each set using set builder notation.
The set of all types of lizards.

Nick Johnson
Nick Johnson
Numerade Educator
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Problem 8

For the following exercises, represent each set using set builder notation.
The set of all stars in the universe.

Nick Johnson
Nick Johnson
Numerade Educator
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Problem 9

For the following exercises, represent each set using set builder notation.
The set of all integer multiples of 3 that are greater than zero.

Nick Johnson
Nick Johnson
Numerade Educator
00:46

Problem 10

For the following exercises, represent each set using set builder notation.
The set of all integer multiples of 4 that are greater than zero.

Eric Tung
Eric Tung
Numerade Educator
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Problem 11

For the following exercises, represent each set using set builder notation.
The set of all plants that are edible.

Nick Johnson
Nick Johnson
Numerade Educator
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Problem 12

For the following exercises, represent each set using set builder notation.
The set of all even numbers.

Nick Johnson
Nick Johnson
Numerade Educator
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Problem 13

For the following exercises, represent each set using the method of your choice.
The set of all squares that are also circles.

Nick Johnson
Nick Johnson
Numerade Educator
01:12

Problem 14

For the following exercises, represent each set using the method of your choice.
The set of natural numbers divisible by zero.

Peggy Radtke
Peggy Radtke
Numerade Educator
01:06

Problem 15

For the following exercises, represent each set using the method of your choice.
The set of Mike and Carol's children on the TV show, The Brady Bunch.

Ma. Theresa  Alin
Ma. Theresa Alin
Numerade Educator
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Problem 16

For the following exercises, represent each set using the method of your choice.
The set of all real numbers.

Nick Johnson
Nick Johnson
Numerade Educator
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Problem 17

For the following exercises, represent each set using the method of your choice.
The set of polar bears that live in Antarctica.

Nick Johnson
Nick Johnson
Numerade Educator
01:06

Problem 18

For the following exercises, represent each set using the method of your choice.
The set of songs written by Prince.

Ma. Theresa  Alin
Ma. Theresa Alin
Numerade Educator
01:06

Problem 19

For the following exercises, represent each set using the method of your choice.
The set of children's books written and illustrated by Mo Willems.

Ma. Theresa  Alin
Ma. Theresa Alin
Numerade Educator
01:06

Problem 20

For the following exercises, represent each set using the method of your choice.
The set of seven colors commonly listed in a rainbow.

Ma. Theresa  Alin
Ma. Theresa Alin
Numerade Educator

Problem 21

For the following exercises, determine if the collection of objects represents a well defined set or not.
The names of all the characters in the book, The Fault in Our Stars by John Green.

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Problem 22

For the following exercises, determine if the collection of objects represents a well defined set or not.
The five greatest soccer players of all time.

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Problem 23

For the following exercises, determine if the collection of objects represents a well defined set or not.
A group of old dogs that are able to learn new tricks.

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Problem 24

For the following exercises, determine if the collection of objects represents a well defined set or not.
A list of all the movies directed by Spike Lee as of 2021.

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Problem 25

For the following exercises, determine if the collection of objects represents a well defined set or not.
The group of all zebras that can fly an airplane.

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Problem 26

For the following exercises, determine if the collection of objects represents a well defined set or not.
The group of National Baseball League Hall of Fame members who have hit over 700 career home runs.

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Problem 27

For the following exercises, compute the cardinal value of each set.
$P={$ Snuzzle, Butterscotch, Blue Belle, Minty, Blossom, Cotton Candy }

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01:56

Problem 28

For the following exercises, compute the cardinal value of each set.
$T=$ {pepperoni, sausage, bacon, ham, mushrooms, olives, bell pepper, pineapple $\}$

Linh Vu
Linh Vu
Numerade Educator
02:45

Problem 29

For the following exercises, compute the cardinal value of each set.
$\varnothing$

Alice .
Alice .
Numerade Educator
02:45

Problem 30

For the following exercises, compute the cardinal value of each set.
$B=\{5,6,7, \ldots, 20\}$

Alice .
Alice .
Numerade Educator
00:49

Problem 31

For the following exercises, compute the cardinal value of each set.
$F=\left\{\frac{1}{9}, \frac{2}{9}, \frac{3}{9}, \frac{4}{9}, \frac{5}{9}, \frac{6}{9}, \frac{7}{9}, \frac{8}{9}, \frac{9}{9}\right\}$

Taylor Shimono
Taylor Shimono
Numerade Educator

Problem 32

For the following exercises, compute the cardinal value of each set.
{}

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01:04

Problem 33

For the following exercises, compute the cardinal value of each set.
$C=\left\{n^3 \mid n\right.$ is a member of $\left.\mathbb{N}\right\}$

Brian Austin
Brian Austin
Numerade Educator
00:43

Problem 34

For the following exercises, compute the cardinal value of each set.
$S=\{7 n \mid n$ is an element of $\mathbb{N}\}$

Peggy Radtke
Peggy Radtke
Numerade Educator
02:45

Problem 35

For the following exercises, compute the cardinal value of each set.
$L=\{l, m, n, \ldots, y\}$

Alice .
Alice .
Numerade Educator
00:30

Problem 36

For the following exercises, compute the cardinal value of each set.
The set of numbers on a standard 6-sided die.

Heather Larsen
Heather Larsen
Numerade Educator
01:51

Problem 37

For the following exercises, determine whether set $A$ and set $B$ are equal, equivalent or neither.
$A=\{$ right, acute, obtuse $;: B=$ \{equilateral, scalene, isoceles $\}$.

Carson Merrill
Carson Merrill
Numerade Educator

Problem 38

For the following exercises, determine whether set $A$ and set $B$ are equal, equivalent or neither.
$A=\left\{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}\right\} ; B=\left\{\frac{1}{4}, \frac{1}{3}, \frac{1}{2}, 1\right\}$.

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01:02

Problem 39

For the following exercises, determine whether set $A$ and set $B$ are equal, equivalent or neither.
$A=\{$ red, orange, yellow $\} ; B=\{$ green, blue, indigo, violet $\}$.

Manisha Sarker
Manisha Sarker
Numerade Educator
00:14

Problem 40

For the following exercises, determine whether set $A$ and set $B$ are equal, equivalent or neither.
$A=\{5 n \mid n \in \mathbb{N}\} ; B=\mathbb{N}$.

Amy Jiang
Amy Jiang
Numerade Educator
01:58

Problem 41

For the following exercises, determine whether set $A$ and set $B$ are equal, equivalent or neither.
$A=\{-2,-1,0, \ldots\} ; B=\{2,3,5, \ldots\}$.

Caleb Fink
Caleb Fink
Numerade Educator
01:02

Problem 42

For the following exercises, determine whether set $A$ and set $B$ are equal, equivalent or neither.
$A=\{$ John, Paul, George, Ringo $\} ; B=($ Bono, Larry, The Edge, Adam $\}$.

Manisha Sarker
Manisha Sarker
Numerade Educator
03:22

Problem 43

For the following exercises, determine whether set $A$ and set $B$ are equal, equivalent or neither.
$A=\varnothing ; B=\{\}$.

Adriano Chikande
Adriano Chikande
Numerade Educator
01:02

Problem 44

For the following exercises, determine whether set $A$ and set $B$ are equal, equivalent or neither.
$A=\{$ lemon, lime, orange $\} \quad B=\{$ orange, lemon, lime, grape $\}$.

Manisha Sarker
Manisha Sarker
Numerade Educator
00:42

Problem 45

For the following exercises, determine if the set described is finite or infinite.
The set of natural numbers.

Lauren Shelton
Lauren Shelton
Numerade Educator

Problem 46

For the following exercises, determine if the set described is finite or infinite.
The empty set.

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Problem 47

For the following exercises, determine if the set described is finite or infinite.
The set consisting of all jazz venues in New Orleans, Louisiana.

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Problem 48

For the following exercises, determine if the set described is finite or infinite.
The set of all real numbers.

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Problem 49

For the following exercises, determine if the set described is finite or infinite.
The set of all different types of cheeses.

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01:01

Problem 50

For the following exercises, determine if the set described is finite or infinite.
The set of all words in Merriam-Webster's Collegiate Dictionary, Eleventh Edition, published in 2020.

Mohamed Mohamed
Mohamed Mohamed
Numerade Educator