DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter E, Problem 1DE
Name each set using the roster method.
The set of whole numbers 0 through 7
Expert Solution & Answer
To determine
The set of whole numbers 0 through 7 by the use of roster method.
Answer to Problem 1DE
Solution:
The set of whole numbers 0 through 7 by the use of roster method is
Explanation of Solution
Given Information:
The set of whole numbers 0 through 7.
Explanation:
Roster method shows the elements of a set by listing all the elements inside of curly brackets.
The whole numbers are the numbers that include 0 with the set of natural numbers.
Thus, the set of whole numbers 0 through 7 are nothing but the elements from 0 to 7.
Hence, the set of whole numbers 0 through 7 by the use of roster method is
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
-
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
p-1
2
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
23
32
how come?
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
The set T is the subset of these residues exceeding
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
2
p-1
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
23
The set T is the subset of these residues exceeding
2°
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
how come?
Shading a Venn diagram with 3 sets: Unions, intersections, and...
The Venn diagram shows sets A, B, C, and the universal set U.
Shade (CUA)' n B on the Venn diagram.
U
Explanation
Check
A-
B
Q Search
田
Chapter E Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. E - Name each set using the roster method.
1. The set...Ch. E - Prob. 2DECh. E - Prob. 3DECh. E - Prob. 4DECh. E - Prob. 5DECh. E - Prob. 6DECh. E - Prob. 7DECh. E - Prob. 8DECh. E - Prob. 9DECh. E - Prob. 10DE
Ch. E - Prob. 11DECh. E - Prob. 12DECh. E - Prob. 13DECh. E - Prob. 1ESCh. E - Prob. 2ESCh. E - Prob. 3ESCh. E - Prob. 4ESCh. E - Prob. 5ESCh. E - Prob. 6ESCh. E - Prob. 7ESCh. E - Prob. 8ESCh. E - Prob. 9ESCh. E - Prob. 10ESCh. E - Prob. 11ESCh. E - Prob. 12ESCh. E - Prob. 13ESCh. E - Prob. 14ESCh. E - Prob. 15ESCh. E - Prob. 16ESCh. E - Prob. 17ESCh. E - Prob. 18ESCh. E - Prob. 19ESCh. E - Prob. 20ESCh. E - Prob. 21ESCh. E - Prob. 22ESCh. E - Prob. 23ESCh. E - Prob. 24ESCh. E - Prob. 25ESCh. E - Prob. 26ESCh. E - Prob. 27ESCh. E - Prob. 28ESCh. E - Prob. 29ESCh. E - Prob. 30ESCh. E - Prob. 31ESCh. E - Prob. 32ESCh. E - 33. Find the union of the set of rational numbers...Ch. E - Prob. 34ESCh. E - Prob. 35ESCh. E - Prob. 36ESCh. E - Prob. 37ESCh. E - Prob. 38ESCh. E - Prob. 39ES
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 3. A different 7-Eleven has a bank of slurpee fountain heads. Their available flavors are as follows: Mountain Dew, Mountain Dew Code Red, Grape, Pepsi and Mountain Dew Livewire. You fill five different cups full with each type of flavor. How many different ways can you arrange the cups in a line if exactly two Mountain Dew flavors are next to each other? 3.2.1arrow_forwardBusinessarrow_forwardWhat is the area of this figure? 5 mm 4 mm 3 mm square millimeters 11 mm Submit 8 mm Work it out 9 mmarrow_forward
- No chatgpt pls will upvotearrow_forwardFind all solutions of the polynomial congruence x²+4x+1 = 0 (mod 143). (The solutions of the congruence x² + 4x+1=0 (mod 11) are x = 3,4 (mod 11) and the solutions of the congruence x² +4x+1 = 0 (mod 13) are x = 2,7 (mod 13).)arrow_forwardhttps://www.hawkeslearning.com/Statistics/dbs2/datasets.htmlarrow_forward
- Determine whether each function is an injection and determine whether each is a surjection.The notation Z_(n) refers to the set {0,1,2,...,n-1}. For example, Z_(4)={0,1,2,3}. f: Z_(6) -> Z_(6) defined by f(x)=x^(2)+4(mod6). g: Z_(5) -> Z_(5) defined by g(x)=x^(2)-11(mod5). h: Z*Z -> Z defined by h(x,y)=x+2y. j: R-{3} -> R defined by j(x)=(4x)/(x-3).arrow_forwardDetermine whether each function is an injection and determine whether each is a surjection.arrow_forwardLet A = {a, b, c, d}, B = {a,b,c}, and C = {s, t, u,v}. Draw an arrow diagram of a function for each of the following descriptions. If no such function exists, briefly explain why. (a) A function f : AC whose range is the set C. (b) A function g: BC whose range is the set C. (c) A function g: BC that is injective. (d) A function j : A → C that is not bijective.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Trigonometric Ratios; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=9-eHMMpQC2k;License: Standard YouTube License, CC-BY