EBK ALGEBRA FOUNDATIONS
15th Edition
ISBN: 9780321978929
Author: Martin-Gay
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 3IR
In a survey,73 people out of 85 get fewer than 8 hours of sleep each night. What fraction of people in the survey get fewer than 8 hours of sleep?
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Q.1) Classify the following statements as a true or false statements:
a. If M is a module, then every proper submodule of M is contained in a maximal
submodule of M.
b. The sum of a finite family of small submodules of a module M is small in M.
c. Zz is directly indecomposable.
d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M.
e. The Z-module has two composition series.
Z
6Z
f. Zz does not have a composition series.
g. Any finitely generated module is a free module.
h. If O→A MW→ 0 is short exact sequence then f is epimorphism.
i. If f is a homomorphism then f-1 is also a homomorphism.
Maximal C≤A if and only if is simple.
Sup
Q.4) Give an example and explain your claim in each case:
Monomorphism not split.
b) A finite free module.
c) Semisimple module.
d) A small submodule A of a module N and a homomorphism op: MN, but
(A) is not small in M.
Chapter 4 Solutions
EBK ALGEBRA FOUNDATIONS
Ch. 4.1 - Use the choices below to fill in each balank....Ch. 4.1 - Prob. 2VRVCCh. 4.1 - Prob. 3VRVCCh. 4.1 - Prob. 4VRVCCh. 4.1 - Prob. 1ESCh. 4.1 - Prob. 2ESCh. 4.1 - Prob. 3ESCh. 4.1 - Prob. 4ESCh. 4.1 - Prob. 5ESCh. 4.1 - Prob. 6ES
Ch. 4.1 - Prob. 7ESCh. 4.1 - Prob. 8ESCh. 4.1 - Prob. 9ESCh. 4.1 - Prob. 10ESCh. 4.1 - Prob. 11ESCh. 4.1 - Prob. 12ESCh. 4.1 - Prob. 13ESCh. 4.1 - Prob. 14ESCh. 4.1 - Prob. 15ESCh. 4.1 - Prob. 16ESCh. 4.1 - Prob. 17ESCh. 4.1 - Prob. 18ESCh. 4.1 - Prob. 19ESCh. 4.1 - Prob. 20ESCh. 4.1 - Objective B Write a proper or improper fraction to...Ch. 4.1 - Objective B Write a proper or improper fraction to...Ch. 4.1 - Objective B Write a proper or improper fraction to...Ch. 4.1 - Objective B Write a proper or improper fraction to...Ch. 4.1 - Objective B Write a proper or improper fraction to...Ch. 4.1 - Objective B Write a proper or improper fraction to...Ch. 4.1 - Objective B Draw and shade a part of a diagram...Ch. 4.1 - Prob. 28ESCh. 4.1 - Prob. 29ESCh. 4.1 - Prob. 30ESCh. 4.1 - Prob. 31ESCh. 4.1 - Prob. 32ESCh. 4.1 - Prob. 33ESCh. 4.1 - Prob. 34ESCh. 4.1 - Prob. 35ESCh. 4.1 - Write each fraction. (Note to students: In case...Ch. 4.1 - Prob. 37ESCh. 4.1 - Prob. 38ESCh. 4.1 - Prob. 39ESCh. 4.1 - Prob. 40ESCh. 4.1 - Prob. 41ESCh. 4.1 - Prob. 42ESCh. 4.1 - Prob. 43ESCh. 4.1 - Prob. 44ESCh. 4.1 - Prob. 45ESCh. 4.1 - Prob. 46ESCh. 4.1 - Prob. 47ESCh. 4.1 - Prob. 48ESCh. 4.1 - Prob. 49ESCh. 4.1 - Prob. 50ESCh. 4.1 - Prob. 51ESCh. 4.1 - Prob. 52ESCh. 4.1 - Prob. 53ESCh. 4.1 - Prob. 54ESCh. 4.1 - Prob. 55ESCh. 4.1 - Prob. 56ESCh. 4.1 - Prob. 57ESCh. 4.1 - Prob. 58ESCh. 4.1 - Prob. 59ESCh. 4.1 - Prob. 60ESCh. 4.1 - Prob. 61ESCh. 4.1 - Prob. 62ESCh. 4.1 - Prob. 63ESCh. 4.1 - Prob. 64ESCh. 4.1 - Prob. 65ESCh. 4.1 - Prob. 66ESCh. 4.1 - Prob. 67ESCh. 4.1 - Prob. 68ESCh. 4.1 - Prob. 69ESCh. 4.1 - Prob. 70ESCh. 4.1 - Prob. 71ESCh. 4.1 - Prob. 72ESCh. 4.1 - Prob. 73ESCh. 4.1 - Prob. 74ESCh. 4.1 - Prob. 75ESCh. 4.1 - Prob. 76ESCh. 4.1 - Prob. 77ESCh. 4.1 - Prob. 78ESCh. 4.1 - Prob. 79ESCh. 4.1 - Prob. 80ESCh. 4.1 - Prob. 81ESCh. 4.1 - Prob. 82ESCh. 4.1 - Prob. 83ESCh. 4.1 - Prob. 84ESCh. 4.1 - Prob. 85ESCh. 4.1 - Prob. 86ESCh. 4.1 - Prob. 87ESCh. 4.1 - Prob. 88ESCh. 4.1 - Prob. 89ESCh. 4.1 - Prob. 90ESCh. 4.1 - Prob. 91ESCh. 4.1 - Prob. 92ESCh. 4.1 - Prob. 93ESCh. 4.1 - Prob. 94ESCh. 4.1 - Prob. 95ESCh. 4.1 - Prob. 96ESCh. 4.1 - Prob. 97ESCh. 4.1 - Prob. 98ESCh. 4.1 - Prob. 99ESCh. 4.1 - Prob. 100ESCh. 4.1 - Prob. 101ESCh. 4.1 - Prob. 102ESCh. 4.1 - Prob. 103ESCh. 4.1 - Prob. 104ESCh. 4.1 - Prob. 105ESCh. 4.1 - Prob. 106ESCh. 4.1 - Prob. 107ESCh. 4.1 - Prob. 108ESCh. 4.1 - Prob. 109ESCh. 4.1 - Prob. 110ESCh. 4.2 - Prob. 1VRVCCh. 4.2 - Prob. 2VRVCCh. 4.2 - Prob. 3VRVCCh. 4.2 - Prob. 4VRVCCh. 4.2 - Prob. 5VRVCCh. 4.2 - Prob. 6VRVCCh. 4.2 - Prob. 1ESCh. 4.2 - Prob. 2ESCh. 4.2 - Prob. 3ESCh. 4.2 - Prob. 4ESCh. 4.2 - Prob. 5ESCh. 4.2 - Prob. 6ESCh. 4.2 - Prob. 7ESCh. 4.2 - Prob. 8ESCh. 4.2 - Prob. 9ESCh. 4.2 - Prob. 10ESCh. 4.2 - Prob. 11ESCh. 4.2 - Prob. 12ESCh. 4.2 - Prob. 13ESCh. 4.2 - Prob. 14ESCh. 4.2 - Prob. 15ESCh. 4.2 - Prob. 16ESCh. 4.2 - Prob. 17ESCh. 4.2 - Prob. 18ESCh. 4.2 - Prob. 19ESCh. 4.2 - Prob. 20ESCh. 4.2 - Prob. 21ESCh. 4.2 - Prob. 22ESCh. 4.2 - Prob. 23ESCh. 4.2 - Prob. 24ESCh. 4.2 - Prob. 25ESCh. 4.2 - Prob. 26ESCh. 4.2 - Prob. 27ESCh. 4.2 - Prob. 28ESCh. 4.2 - Prob. 29ESCh. 4.2 - Prob. 30ESCh. 4.2 - Prob. 31ESCh. 4.2 - Prob. 32ESCh. 4.2 - Prob. 33ESCh. 4.2 - Objective B Write each fraction in simplest form....Ch. 4.2 - Prob. 35ESCh. 4.2 - Prob. 36ESCh. 4.2 - Prob. 37ESCh. 4.2 - Prob. 38ESCh. 4.2 - Prob. 39ESCh. 4.2 - Prob. 40ESCh. 4.2 - Prob. 41ESCh. 4.2 - Prob. 42ESCh. 4.2 - Objective B Write each fraction in simplest form....Ch. 4.2 - Prob. 44ESCh. 4.2 - Prob. 45ESCh. 4.2 - Prob. 46ESCh. 4.2 - Prob. 47ESCh. 4.2 - Objective B Write each fraction in simplest form....Ch. 4.2 - Prob. 49ESCh. 4.2 - Prob. 50ESCh. 4.2 - Prob. 51ESCh. 4.2 - Prob. 52ESCh. 4.2 - Prob. 53ESCh. 4.2 - Prob. 54ESCh. 4.2 - Prob. 55ESCh. 4.2 - Prob. 56ESCh. 4.2 - Prob. 57ESCh. 4.2 - Prob. 58ESCh. 4.2 - Prob. 59ESCh. 4.2 - Prob. 60ESCh. 4.2 - Prob. 61ESCh. 4.2 - Prob. 62ESCh. 4.2 - Prob. 63ESCh. 4.2 - Prob. 64ESCh. 4.2 - Prob. 65ESCh. 4.2 - Prob. 66ESCh. 4.2 - Objective D Solve. Write each fraction in simplest...Ch. 4.2 - Prob. 68ESCh. 4.2 - Prob. 69ESCh. 4.2 - Prob. 70ESCh. 4.2 - Prob. 71ESCh. 4.2 - Prob. 72ESCh. 4.2 - Prob. 73ESCh. 4.2 - Prob. 74ESCh. 4.2 - Prob. 75ESCh. 4.2 - Prob. 76ESCh. 4.2 - Prob. 77ESCh. 4.2 - Prob. 78ESCh. 4.2 - Prob. 79ESCh. 4.2 - Prob. 80ESCh. 4.2 - Prob. 81ESCh. 4.2 - Prob. 82ESCh. 4.2 - Prob. 83ESCh. 4.2 - Prob. 84ESCh. 4.2 - Prob. 85ESCh. 4.2 - Prob. 86ESCh. 4.2 - Prob. 87ESCh. 4.2 - Prob. 88ESCh. 4.2 - Prob. 89ESCh. 4.2 - Prob. 90ESCh. 4.2 - Prob. 91ESCh. 4.2 - Prob. 92ESCh. 4.2 - Prob. 93ESCh. 4.2 - Prob. 94ESCh. 4.2 - Prob. 95ESCh. 4.2 - Prob. 96ESCh. 4.2 - Use this circle graph to answer Exercises 97...Ch. 4.2 - Prob. 98ESCh. 4.2 - Prob. 99ESCh. 4.2 - Prob. 100ESCh. 4.2 - Prob. 101ESCh. 4.2 - Prob. 102ESCh. 4.2 - Prob. 103ESCh. 4.2 - Prob. 104ESCh. 4.3 - Prob. 1VRVCCh. 4.3 - Prob. 2VRVCCh. 4.3 - Prob. 3VRVCCh. 4.3 - Prob. 4VRVCCh. 4.3 - Prob. 5VRVCCh. 4.3 - Prob. 6VRVCCh. 4.3 - Prob. 1ESCh. 4.3 - Prob. 2ESCh. 4.3 - Prob. 3ESCh. 4.3 - Prob. 4ESCh. 4.3 - Prob. 5ESCh. 4.3 - Prob. 6ESCh. 4.3 - Prob. 7ESCh. 4.3 - Prob. 8ESCh. 4.3 - Prob. 9ESCh. 4.3 - Prob. 10ESCh. 4.3 - Prob. 11ESCh. 4.3 - Prob. 12ESCh. 4.3 - Prob. 13ESCh. 4.3 - Prob. 14ESCh. 4.3 - Prob. 15ESCh. 4.3 - Prob. 16ESCh. 4.3 - Prob. 17ESCh. 4.3 - Prob. 18ESCh. 4.3 - Prob. 19ESCh. 4.3 - Prob. 20ESCh. 4.3 - Prob. 21ESCh. 4.3 - Prob. 22ESCh. 4.3 - Prob. 23ESCh. 4.3 - Prob. 24ESCh. 4.3 - Prob. 25ESCh. 4.3 - Prob. 26ESCh. 4.3 - Prob. 27ESCh. 4.3 - Prob. 28ESCh. 4.3 - Prob. 29ESCh. 4.3 - Prob. 30ESCh. 4.3 - Prob. 31ESCh. 4.3 - Prob. 32ESCh. 4.3 - Prob. 33ESCh. 4.3 - Prob. 34ESCh. 4.3 - Prob. 35ESCh. 4.3 - Prob. 36ESCh. 4.3 - Prob. 37ESCh. 4.3 - Prob. 38ESCh. 4.3 - Prob. 39ESCh. 4.3 - Prob. 40ESCh. 4.3 - Prob. 41ESCh. 4.3 - Prob. 42ESCh. 4.3 - Prob. 43ESCh. 4.3 - Prob. 44ESCh. 4.3 - Prob. 45ESCh. 4.3 - Prob. 46ESCh. 4.3 - Prob. 47ESCh. 4.3 - Prob. 48ESCh. 4.3 - Prob. 49ESCh. 4.3 - Prob. 50ESCh. 4.3 - Prob. 51ESCh. 4.3 - Prob. 52ESCh. 4.3 - Prob. 53ESCh. 4.3 - Prob. 54ESCh. 4.3 - Prob. 55ESCh. 4.3 - Prob. 56ESCh. 4.3 - Prob. 57ESCh. 4.3 - Prob. 58ESCh. 4.3 - Prob. 59ESCh. 4.3 - Prob. 60ESCh. 4.3 - Prob. 61ESCh. 4.3 - Prob. 62ESCh. 4.3 - Prob. 63ESCh. 4.3 - Prob. 64ESCh. 4.3 - Prob. 65ESCh. 4.3 - Prob. 66ESCh. 4.3 - Prob. 67ESCh. 4.3 - Prob. 68ESCh. 4.3 - Prob. 69ESCh. 4.3 - Prob. 70ESCh. 4.3 - Prob. 71ESCh. 4.3 - Prob. 72ESCh. 4.3 - Prob. 73ESCh. 4.3 - Prob. 74ESCh. 4.3 - Prob. 75ESCh. 4.3 - Prob. 76ESCh. 4.3 - Prob. 77ESCh. 4.3 - Prob. 78ESCh. 4.3 - Prob. 79ESCh. 4.3 - Prob. 80ESCh. 4.3 - Prob. 81ESCh. 4.3 - Prob. 82ESCh. 4.3 - Prob. 83ESCh. 4.3 - Prob. 84ESCh. 4.3 - Prob. 85ESCh. 4.3 - Prob. 86ESCh. 4.3 - Prob. 87ESCh. 4.3 - Prob. 88ESCh. 4.3 - Prob. 89ESCh. 4.3 - Each turn of a screw sinks it 316 of an inch...Ch. 4.3 - Prob. 91ESCh. 4.3 - Prob. 92ESCh. 4.3 - Prob. 93ESCh. 4.3 - Prob. 94ESCh. 4.3 - Prob. 95ESCh. 4.3 - Prob. 96ESCh. 4.3 - Prob. 97ESCh. 4.3 - Prob. 98ESCh. 4.3 - Prob. 99ESCh. 4.3 - Prob. 100ESCh. 4.3 - Prob. 101ESCh. 4.3 - Prob. 102ESCh. 4.3 - Prob. 103ESCh. 4.3 - Prob. 104ESCh. 4.3 - Prob. 105ESCh. 4.3 - Prob. 106ESCh. 4.3 - Prob. 107ESCh. 4.3 - Prob. 108ESCh. 4.3 - Prob. 109ESCh. 4.3 - Prob. 110ESCh. 4.3 - Prob. 111ESCh. 4.3 - Prob. 112ESCh. 4.3 - Prob. 113ESCh. 4.3 - Prob. 114ESCh. 4.4 - Prob. 1VRVCCh. 4.4 - Prob. 2VRVCCh. 4.4 - Prob. 3VRVCCh. 4.4 - Prob. 4VRVCCh. 4.4 - Prob. 5VRVCCh. 4.4 - Prob. 6VRVCCh. 4.4 - Prob. 1ESCh. 4.4 - Prob. 2ESCh. 4.4 - Prob. 3ESCh. 4.4 - Prob. 4ESCh. 4.4 - Prob. 5ESCh. 4.4 - Prob. 6ESCh. 4.4 - Prob. 7ESCh. 4.4 - Prob. 8ESCh. 4.4 - Prob. 9ESCh. 4.4 - Prob. 10ESCh. 4.4 - Prob. 11ESCh. 4.4 - Prob. 12ESCh. 4.4 - Prob. 13ESCh. 4.4 - Prob. 14ESCh. 4.4 - Prob. 15ESCh. 4.4 - Prob. 16ESCh. 4.4 - Prob. 17ESCh. 4.4 - Prob. 18ESCh. 4.4 - Prob. 19ESCh. 4.4 - Prob. 20ESCh. 4.4 - Prob. 21ESCh. 4.4 - Prob. 22ESCh. 4.4 - Prob. 23ESCh. 4.4 - Prob. 24ESCh. 4.4 - Prob. 25ESCh. 4.4 - Prob. 26ESCh. 4.4 - Prob. 27ESCh. 4.4 - Prob. 28ESCh. 4.4 - Prob. 29ESCh. 4.4 - Prob. 30ESCh. 4.4 - Prob. 31ESCh. 4.4 - Prob. 32ESCh. 4.4 - Prob. 33ESCh. 4.4 - Prob. 34ESCh. 4.4 - Prob. 35ESCh. 4.4 - Prob. 36ESCh. 4.4 - Prob. 37ESCh. 4.4 - Prob. 38ESCh. 4.4 - Prob. 39ESCh. 4.4 - Prob. 40ESCh. 4.4 - Prob. 41ESCh. 4.4 - Prob. 42ESCh. 4.4 - Prob. 43ESCh. 4.4 - Prob. 44ESCh. 4.4 - Prob. 45ESCh. 4.4 - Prob. 46ESCh. 4.4 - Prob. 47ESCh. 4.4 - Prob. 48ESCh. 4.4 - Prob. 49ESCh. 4.4 - Prob. 50ESCh. 4.4 - Prob. 51ESCh. 4.4 - Prob. 52ESCh. 4.4 - Prob. 53ESCh. 4.4 - Prob. 54ESCh. 4.4 - Prob. 55ESCh. 4.4 - Prob. 56ESCh. 4.4 - Prob. 57ESCh. 4.4 - Prob. 58ESCh. 4.4 - Prob. 59ESCh. 4.4 - Prob. 60ESCh. 4.4 - Prob. 61ESCh. 4.4 - Prob. 62ESCh. 4.4 - Prob. 63ESCh. 4.4 - Prob. 64ESCh. 4.4 - Prob. 65ESCh. 4.4 - Prob. 66ESCh. 4.4 - Prob. 67ESCh. 4.4 - Prob. 68ESCh. 4.4 - Prob. 69ESCh. 4.4 - Prob. 70ESCh. 4.4 - Prob. 71ESCh. 4.4 - Prob. 72ESCh. 4.4 - Prob. 73ESCh. 4.4 - Prob. 74ESCh. 4.4 - Prob. 75ESCh. 4.4 - Prob. 76ESCh. 4.4 - Prob. 77ESCh. 4.4 - Prob. 78ESCh. 4.4 - Prob. 79ESCh. 4.4 - Prob. 80ESCh. 4.4 - Prob. 81ESCh. 4.4 - Prob. 82ESCh. 4.4 - Prob. 83ESCh. 4.4 - Prob. 84ESCh. 4.4 - Prob. 85ESCh. 4.4 - Prob. 86ESCh. 4.4 - Prob. 87ESCh. 4.4 - Prob. 88ESCh. 4.4 - Prob. 89ESCh. 4.4 - Prob. 90ESCh. 4.4 - Prob. 91ESCh. 4.4 - Prob. 92ESCh. 4.4 - Prob. 93ESCh. 4.4 - Prob. 94ESCh. 4.4 - Prob. 95ESCh. 4.4 - Prob. 96ESCh. 4.4 - Prob. 97ESCh. 4.4 - Prob. 98ESCh. 4.4 - Prob. 99ESCh. 4.4 - Prob. 100ESCh. 4.5 - Prob. 1VRVCCh. 4.5 - Prob. 2VRVCCh. 4.5 - Prob. 3VRVCCh. 4.5 - Prob. 4VRVCCh. 4.5 - Prob. 5VRVCCh. 4.5 - Prob. 6VRVCCh. 4.5 - Prob. 1ESCh. 4.5 - Prob. 2ESCh. 4.5 - Prob. 3ESCh. 4.5 - Prob. 4ESCh. 4.5 - Prob. 5ESCh. 4.5 - Prob. 6ESCh. 4.5 - Prob. 7ESCh. 4.5 - Prob. 8ESCh. 4.5 - Prob. 9ESCh. 4.5 - Prob. 10ESCh. 4.5 - Prob. 11ESCh. 4.5 - Prob. 12ESCh. 4.5 - Prob. 13ESCh. 4.5 - Prob. 14ESCh. 4.5 - Prob. 15ESCh. 4.5 - Prob. 16ESCh. 4.5 - Prob. 17ESCh. 4.5 - Prob. 18ESCh. 4.5 - Prob. 19ESCh. 4.5 - Prob. 20ESCh. 4.5 - Prob. 21ESCh. 4.5 - Prob. 22ESCh. 4.5 - Prob. 23ESCh. 4.5 - Prob. 24ESCh. 4.5 - Prob. 25ESCh. 4.5 - Prob. 26ESCh. 4.5 - Prob. 27ESCh. 4.5 - Prob. 28ESCh. 4.5 - Prob. 29ESCh. 4.5 - Prob. 30ESCh. 4.5 - Prob. 31ESCh. 4.5 - Prob. 32ESCh. 4.5 - Prob. 33ESCh. 4.5 - Prob. 34ESCh. 4.5 - Prob. 35ESCh. 4.5 - Prob. 36ESCh. 4.5 - Prob. 37ESCh. 4.5 - Prob. 38ESCh. 4.5 - Prob. 39ESCh. 4.5 - Prob. 40ESCh. 4.5 - Prob. 41ESCh. 4.5 - Prob. 42ESCh. 4.5 - Prob. 43ESCh. 4.5 - Prob. 44ESCh. 4.5 - Prob. 45ESCh. 4.5 - Prob. 46ESCh. 4.5 - Prob. 47ESCh. 4.5 - Prob. 48ESCh. 4.5 - Prob. 49ESCh. 4.5 - Prob. 50ESCh. 4.5 - Prob. 51ESCh. 4.5 - Prob. 52ESCh. 4.5 - Prob. 53ESCh. 4.5 - Prob. 54ESCh. 4.5 - Prob. 55ESCh. 4.5 - Prob. 56ESCh. 4.5 - Prob. 57ESCh. 4.5 - Prob. 58ESCh. 4.5 - Prob. 59ESCh. 4.5 - Prob. 60ESCh. 4.5 - Prob. 61ESCh. 4.5 - Prob. 62ESCh. 4.5 - Prob. 63ESCh. 4.5 - Prob. 64ESCh. 4.5 - Prob. 65ESCh. 4.5 - Prob. 66ESCh. 4.5 - Prob. 67ESCh. 4.5 - Prob. 68ESCh. 4.5 - Prob. 69ESCh. 4.5 - Prob. 70ESCh. 4.5 - Prob. 71ESCh. 4.5 - Prob. 72ESCh. 4.5 - Prob. 73ESCh. 4.5 - Prob. 74ESCh. 4.5 - Prob. 75ESCh. 4.5 - Prob. 76ESCh. 4.5 - Prob. 77ESCh. 4.5 - Prob. 78ESCh. 4.5 - Prob. 79ESCh. 4.5 - Prob. 80ESCh. 4.5 - Translate each phrase into an algebraic...Ch. 4.5 - Translate each phrase into an algebraic...Ch. 4.5 - Translate each phrase into an algebraic...Ch. 4.5 - Translate each phrase into an algebraic...Ch. 4.5 - Prob. 85ESCh. 4.5 - Prob. 86ESCh. 4.5 - Prob. 87ESCh. 4.5 - Prob. 88ESCh. 4.5 - Prob. 89ESCh. 4.5 - Prob. 90ESCh. 4.5 - Prob. 91ESCh. 4.5 - Prob. 92ESCh. 4.5 - Prob. 93ESCh. 4.5 - Prob. 94ESCh. 4.5 - Prob. 95ESCh. 4.5 - Prob. 96ESCh. 4.5 - Prob. 97ESCh. 4.5 - Prob. 98ESCh. 4.5 - Prob. 99ESCh. 4.5 - Prob. 100ESCh. 4.5 - Prob. 101ESCh. 4.5 - Prob. 102ESCh. 4.5 - Prob. 103ESCh. 4.5 - Prob. 104ESCh. 4.5 - Prob. 105ESCh. 4.5 - Prob. 106ESCh. 4.5 - Prob. 107ESCh. 4.5 - Prob. 108ESCh. 4.5 - Prob. 109ESCh. 4.5 - Prob. 110ESCh. 4.5 - Prob. 111ESCh. 4.6 - Prob. 1VRVCCh. 4.6 - Prob. 2VRVCCh. 4.6 - Prob. 3VRVCCh. 4.6 - Prob. 4VRVCCh. 4.6 - Prob. 5VRVCCh. 4.6 - Prob. 6VRVCCh. 4.6 - Prob. 1ESCh. 4.6 - Prob. 2ESCh. 4.6 - Prob. 3ESCh. 4.6 - Prob. 4ESCh. 4.6 - Prob. 5ESCh. 4.6 - Prob. 6ESCh. 4.6 - Prob. 7ESCh. 4.6 - Prob. 8ESCh. 4.6 - Prob. 9ESCh. 4.6 - Prob. 10ESCh. 4.6 - Prob. 11ESCh. 4.6 - Prob. 12ESCh. 4.6 - Prob. 13ESCh. 4.6 - Prob. 14ESCh. 4.6 - Prob. 15ESCh. 4.6 - Prob. 16ESCh. 4.6 - Prob. 17ESCh. 4.6 - Prob. 18ESCh. 4.6 - Prob. 19ESCh. 4.6 - Prob. 20ESCh. 4.6 - Prob. 21ESCh. 4.6 - Prob. 22ESCh. 4.6 - Prob. 23ESCh. 4.6 - Prob. 24ESCh. 4.6 - Prob. 25ESCh. 4.6 - Prob. 26ESCh. 4.6 - Prob. 27ESCh. 4.6 - Prob. 28ESCh. 4.6 - Prob. 29ESCh. 4.6 - Prob. 30ESCh. 4.6 - Prob. 31ESCh. 4.6 - Prob. 32ESCh. 4.6 - Prob. 33ESCh. 4.6 - Prob. 34ESCh. 4.6 - Prob. 35ESCh. 4.6 - Prob. 36ESCh. 4.6 - Prob. 37ESCh. 4.6 - Prob. 38ESCh. 4.6 - Prob. 39ESCh. 4.6 - Prob. 40ESCh. 4.6 - Prob. 41ESCh. 4.6 - Prob. 42ESCh. 4.6 - Prob. 43ESCh. 4.6 - Prob. 44ESCh. 4.6 - Prob. 45ESCh. 4.6 - Prob. 46ESCh. 4.6 - Prob. 47ESCh. 4.6 - Prob. 48ESCh. 4.6 - Prob. 49ESCh. 4.6 - Prob. 50ESCh. 4.6 - Prob. 51ESCh. 4.6 - Prob. 52ESCh. 4.6 - Prob. 53ESCh. 4.6 - Prob. 54ESCh. 4.6 - Prob. 55ESCh. 4.6 - Prob. 56ESCh. 4.6 - Prob. 57ESCh. 4.6 - Prob. 58ESCh. 4.6 - Prob. 59ESCh. 4.6 - Prob. 60ESCh. 4.6 - Prob. 61ESCh. 4.6 - Prob. 62ESCh. 4.6 - Prob. 63ESCh. 4.6 - Prob. 64ESCh. 4.6 - Prob. 65ESCh. 4.6 - Prob. 66ESCh. 4.6 - Prob. 67ESCh. 4.6 - Prob. 68ESCh. 4.6 - Prob. 69ESCh. 4.6 - Prob. 70ESCh. 4.6 - Prob. 71ESCh. 4.6 - Prob. 72ESCh. 4.6 - Prob. 73ESCh. 4.6 - Prob. 74ESCh. 4.6 - Prob. 75ESCh. 4.6 - Prob. 76ESCh. 4.6 - Prob. 77ESCh. 4.6 - Prob. 78ESCh. 4.6 - Prob. 79ESCh. 4.6 - Prob. 80ESCh. 4.6 - Prob. 81ESCh. 4.6 - Prob. 82ESCh. 4.6 - Prob. 83ESCh. 4.6 - Prob. 84ESCh. 4.7 - Prob. 1VRVCCh. 4.7 - Prob. 2VRVCCh. 4.7 - Prob. 3VRVCCh. 4.7 - Prob. 4VRVCCh. 4.7 - Prob. 1ESCh. 4.7 - Prob. 2ESCh. 4.7 - Prob. 3ESCh. 4.7 - Prob. 4ESCh. 4.7 - Prob. 5ESCh. 4.7 - Prob. 6ESCh. 4.7 - Prob. 7ESCh. 4.7 - Prob. 8ESCh. 4.7 - Prob. 9ESCh. 4.7 - Prob. 10ESCh. 4.7 - Prob. 11ESCh. 4.7 - Prob. 12ESCh. 4.7 - Prob. 13ESCh. 4.7 - Prob. 14ESCh. 4.7 - Prob. 15ESCh. 4.7 - Prob. 16ESCh. 4.7 - Prob. 17ESCh. 4.7 - Prob. 18ESCh. 4.7 - Prob. 19ESCh. 4.7 - Prob. 20ESCh. 4.7 - Prob. 21ESCh. 4.7 - Prob. 22ESCh. 4.7 - Prob. 23ESCh. 4.7 - Prob. 24ESCh. 4.7 - Prob. 25ESCh. 4.7 - Prob. 26ESCh. 4.7 - Prob. 27ESCh. 4.7 - Prob. 28ESCh. 4.7 - Prob. 29ESCh. 4.7 - Prob. 30ESCh. 4.7 - Prob. 31ESCh. 4.7 - Add. For Exercises 27 through 30, find the exact...Ch. 4.7 - Prob. 33ESCh. 4.7 - Prob. 34ESCh. 4.7 - Prob. 35ESCh. 4.7 - Prob. 36ESCh. 4.7 - Prob. 37ESCh. 4.7 - Prob. 38ESCh. 4.7 - Prob. 39ESCh. 4.7 - Prob. 40ESCh. 4.7 - Prob. 41ESCh. 4.7 - Prob. 42ESCh. 4.7 - Prob. 43ESCh. 4.7 - Prob. 44ESCh. 4.7 - Prob. 45ESCh. 4.7 - Prob. 46ESCh. 4.7 - Prob. 47ESCh. 4.7 - Prob. 48ESCh. 4.7 - Prob. 49ESCh. 4.7 - Prob. 50ESCh. 4.7 - Prob. 51ESCh. 4.7 - Prob. 52ESCh. 4.7 - Prob. 53ESCh. 4.7 - Prob. 54ESCh. 4.7 - Prob. 55ESCh. 4.7 - Prob. 56ESCh. 4.7 - Prob. 57ESCh. 4.7 - Prob. 58ESCh. 4.7 - Prob. 59ESCh. 4.7 - Prob. 60ESCh. 4.7 - Prob. 61ESCh. 4.7 - Prob. 62ESCh. 4.7 - Prob. 63ESCh. 4.7 - Prob. 64ESCh. 4.7 - Prob. 65ESCh. 4.7 - Prob. 66ESCh. 4.7 - Prob. 67ESCh. 4.7 - Prob. 68ESCh. 4.7 - Translate each phrase into an algebraic...Ch. 4.7 - Translate each phrase into an algebraic...Ch. 4.7 - Translate each phrase into an algebraic...Ch. 4.7 - Translate each phrase into an algebraic...Ch. 4.7 - Prob. 73ESCh. 4.7 - Prob. 74ESCh. 4.7 - Prob. 75ESCh. 4.7 - Prob. 76ESCh. 4.7 - Prob. 77ESCh. 4.7 - Prob. 78ESCh. 4.7 - Prob. 79ESCh. 4.7 - Prob. 80ESCh. 4.7 - Prob. 81ESCh. 4.7 - Prob. 82ESCh. 4.7 - Prob. 83ESCh. 4.7 - Prob. 84ESCh. 4.7 - Prob. 85ESCh. 4.7 - Prob. 86ESCh. 4.7 - Prob. 87ESCh. 4.7 - Prob. 88ESCh. 4.7 - Prob. 89ESCh. 4.7 - Prob. 90ESCh. 4.7 - Prob. 91ESCh. 4.7 - Prob. 92ESCh. 4.7 - Prob. 93ESCh. 4.7 - Prob. 94ESCh. 4.7 - Prob. 95ESCh. 4.7 - Prob. 96ESCh. 4.7 - Prob. 97ESCh. 4.7 - Prob. 98ESCh. 4.7 - Prob. 99ESCh. 4.7 - Prob. 100ESCh. 4.7 - Prob. 101ESCh. 4.7 - Prob. 102ESCh. 4.7 - Prob. 103ESCh. 4.7 - Prob. 104ESCh. 4.7 - Prob. 105ESCh. 4.7 - Prob. 106ESCh. 4.7 - Prob. 107ESCh. 4.7 - Prob. 108ESCh. 4.7 - Prob. 109ESCh. 4.7 - Prob. 110ESCh. 4.7 - Prob. 111ESCh. 4.7 - Prob. 112ESCh. 4.7 - Prob. 113ESCh. 4.7 - Prob. 114ESCh. 4.7 - Prob. 115ESCh. 4.7 - Prob. 116ESCh. 4.7 - Prob. 117ESCh. 4.7 - Prob. 118ESCh. 4.8 - Prob. 1VRVCCh. 4.8 - Prob. 2VRVCCh. 4.8 - Prob. 3VRVCCh. 4.8 - Prob. 4VRVCCh. 4.8 - Prob. 1ESCh. 4.8 - Prob. 2ESCh. 4.8 - Prob. 3ESCh. 4.8 - Prob. 4ESCh. 4.8 - Prob. 5ESCh. 4.8 - Prob. 6ESCh. 4.8 - Prob. 7ESCh. 4.8 - Prob. 8ESCh. 4.8 - Prob. 9ESCh. 4.8 - Prob. 10ESCh. 4.8 - Prob. 11ESCh. 4.8 - Prob. 12ESCh. 4.8 - Prob. 13ESCh. 4.8 - Prob. 14ESCh. 4.8 - Prob. 15ESCh. 4.8 - Prob. 16ESCh. 4.8 - Prob. 17ESCh. 4.8 - Prob. 18ESCh. 4.8 - Prob. 19ESCh. 4.8 - Prob. 20ESCh. 4.8 - Prob. 21ESCh. 4.8 - Prob. 22ESCh. 4.8 - Prob. 23ESCh. 4.8 - Prob. 24ESCh. 4.8 - Prob. 25ESCh. 4.8 - Prob. 26ESCh. 4.8 - Prob. 27ESCh. 4.8 - Prob. 28ESCh. 4.8 - Prob. 29ESCh. 4.8 - Prob. 30ESCh. 4.8 - Prob. 31ESCh. 4.8 - Prob. 32ESCh. 4.8 - Prob. 33ESCh. 4.8 - Prob. 34ESCh. 4.8 - Prob. 35ESCh. 4.8 - Prob. 36ESCh. 4.8 - Prob. 37ESCh. 4.8 - Prob. 38ESCh. 4.8 - Prob. 39ESCh. 4.8 - Prob. 40ESCh. 4.8 - Prob. 41ESCh. 4.8 - Prob. 42ESCh. 4.8 - Prob. 43ESCh. 4.8 - Prob. 44ESCh. 4.8 - Prob. 45ESCh. 4.8 - Prob. 46ESCh. 4.8 - Prob. 47ESCh. 4.8 - Prob. 48ESCh. 4.8 - Prob. 49ESCh. 4.8 - Prob. 50ESCh. 4.8 - Prob. 51ESCh. 4.8 - Prob. 52ESCh. 4.8 - Prob. 53ESCh. 4.8 - Prob. 54ESCh. 4.8 - Prob. 55ESCh. 4.8 - Prob. 56ESCh. 4.8 - Prob. 57ESCh. 4.8 - Prob. 58ESCh. 4.8 - Prob. 59ESCh. 4.8 - Prob. 60ESCh. 4.8 - Prob. 61ESCh. 4.8 - Prob. 62ESCh. 4.8 - Prob. 63ESCh. 4.8 - Prob. 64ESCh. 4.8 - Prob. 65ESCh. 4.8 - Prob. 66ESCh. 4.8 - Prob. 67ESCh. 4.8 - Prob. 68ESCh. 4.8 - Prob. 69ESCh. 4.8 - Prob. 70ESCh. 4.8 - Prob. 71ESCh. 4.8 - Prob. 72ESCh. 4.8 - Prob. 73ESCh. 4.8 - Prob. 74ESCh. 4.8 - Prob. 75ESCh. 4.8 - Prob. 76ESCh. 4.8 - Prob. 77ESCh. 4.8 - Prob. 78ESCh. 4.8 - Prob. 79ESCh. 4.8 - Prob. 80ESCh. 4 - Use a fraction to represent the shaded area of...Ch. 4 - Prob. 2IRCh. 4 - In a survey,73 people out of 85 get fewer than 8...Ch. 4 - Prob. 4IRCh. 4 - Prob. 5IRCh. 4 - Prob. 6IRCh. 4 - Prob. 7IRCh. 4 - Prob. 8IRCh. 4 - Prob. 9IRCh. 4 - Prob. 10IRCh. 4 - Prob. 11IRCh. 4 - Prob. 12IRCh. 4 - Prob. 13IRCh. 4 - Prob. 14IRCh. 4 - Prob. 15IRCh. 4 - Prob. 16IRCh. 4 - Prob. 17IRCh. 4 - Prob. 18IRCh. 4 - Prob. 19IRCh. 4 - Prob. 20IRCh. 4 - Prob. 21IRCh. 4 - Prob. 22IRCh. 4 - Of the 50 states, 2 states are not adjacent to any...Ch. 4 - Prob. 24IRCh. 4 - Prob. 25IRCh. 4 - Prob. 26IRCh. 4 - Prob. 27IRCh. 4 - Prob. 28IRCh. 4 - Prob. 29IRCh. 4 - Prob. 30IRCh. 4 - Prob. 31IRCh. 4 - Prob. 32IRCh. 4 - Prob. 33IRCh. 4 - Prob. 34IRCh. 4 - Prob. 35IRCh. 4 - Prob. 36IRCh. 4 - Prob. 37IRCh. 4 - Prob. 38IRCh. 4 - Prob. 39IRCh. 4 - Prob. 40IRCh. 4 - Prob. 41IRCh. 4 - Prob. 42IRCh. 4 - Prob. 43IRCh. 4 - Prob. 44IRCh. 4 - Prob. 45IRCh. 4 - Prob. 46IRCh. 4 - Translate each to an expression. Use x to...Ch. 4 - Translate each to an expression. Use x to...Ch. 4 - Translate each to an expression. Use x to...Ch. 4 - Translate each to an expression. Use x to...Ch. 4 - Prob. 51IRCh. 4 - Prob. 52IRCh. 4 - Prob. 53IRCh. 4 - Prob. 1VCCh. 4 - Prob. 2VCCh. 4 - Prob. 3VCCh. 4 - Prob. 4VCCh. 4 - Prob. 5VCCh. 4 - Prob. 6VCCh. 4 - Fill in each blank with one of the words or...Ch. 4 - Prob. 8VCCh. 4 - Prob. 9VCCh. 4 - Prob. 10VCCh. 4 - Prob. 11VCCh. 4 - Prob. 12VCCh. 4 - Prob. 13VCCh. 4 - Prob. 14VCCh. 4 - Prob. 15VCCh. 4 - Prob. 16VCCh. 4 - Prob. 1RCh. 4 - Prob. 2RCh. 4 - Prob. 3RCh. 4 - Prob. 4RCh. 4 - Prob. 5RCh. 4 - Prob. 6RCh. 4 - Prob. 7RCh. 4 - Prob. 8RCh. 4 - Prob. 9RCh. 4 - Prob. 10RCh. 4 - Prob. 11RCh. 4 - Prob. 12RCh. 4 - Prob. 13RCh. 4 - Prob. 14RCh. 4 - Prob. 15RCh. 4 - Prob. 16RCh. 4 - Prob. 17RCh. 4 - Prob. 18RCh. 4 - Prob. 19RCh. 4 - Prob. 20RCh. 4 - Prob. 21RCh. 4 - Prob. 22RCh. 4 - Prob. 23RCh. 4 - Prob. 24RCh. 4 - Prob. 25RCh. 4 - Prob. 26RCh. 4 - Prob. 27RCh. 4 - Prob. 28RCh. 4 - Prob. 29RCh. 4 - Prob. 30RCh. 4 - Prob. 31RCh. 4 - Prob. 32RCh. 4 - Prob. 33RCh. 4 - Prob. 34RCh. 4 - Prob. 35RCh. 4 - Prob. 36RCh. 4 - Prob. 37RCh. 4 - Prob. 38RCh. 4 - Prob. 39RCh. 4 - Prob. 40RCh. 4 - Prob. 41RCh. 4 - Prob. 42RCh. 4 - Prob. 43RCh. 4 - Prob. 44RCh. 4 - Prob. 45RCh. 4 - Prob. 46RCh. 4 - Prob. 47RCh. 4 - Prob. 48RCh. 4 - Prob. 49RCh. 4 - Prob. 50RCh. 4 - Prob. 51RCh. 4 - Prob. 52RCh. 4 - Prob. 53RCh. 4 - Prob. 54RCh. 4 - Prob. 55RCh. 4 - Prob. 56RCh. 4 - Prob. 57RCh. 4 - Prob. 58RCh. 4 - Prob. 59RCh. 4 - Prob. 60RCh. 4 - Prob. 61RCh. 4 - Prob. 62RCh. 4 - Prob. 63RCh. 4 - Prob. 64RCh. 4 - Prob. 65RCh. 4 - Prob. 66RCh. 4 - Prob. 67RCh. 4 - Prob. 68RCh. 4 - Prob. 69RCh. 4 - Prob. 70RCh. 4 - Prob. 71RCh. 4 - Prob. 72RCh. 4 - Prob. 73RCh. 4 - Prob. 74RCh. 4 - Prob. 75RCh. 4 - Prob. 76RCh. 4 - Prob. 77RCh. 4 - Prob. 78RCh. 4 - Prob. 79RCh. 4 - Prob. 80RCh. 4 - Prob. 81RCh. 4 - Prob. 82RCh. 4 - Prob. 83RCh. 4 - Prob. 84RCh. 4 - Prob. 85RCh. 4 - Prob. 86RCh. 4 - Prob. 87RCh. 4 - Prob. 88RCh. 4 - Prob. 89RCh. 4 - Prob. 90RCh. 4 - Prob. 91RCh. 4 - Prob. 92RCh. 4 - Prob. 93RCh. 4 - Prob. 94RCh. 4 - Prob. 95RCh. 4 - Prob. 96RCh. 4 - Prob. 97RCh. 4 - Prob. 98RCh. 4 - Prob. 99RCh. 4 - Prob. 100RCh. 4 - Prob. 101RCh. 4 - Prob. 102RCh. 4 - Prob. 103RCh. 4 - Prob. 104RCh. 4 - Prob. 105RCh. 4 - Prob. 106RCh. 4 - Prob. 107RCh. 4 - Prob. 108RCh. 4 - Prob. 109RCh. 4 - Prob. 110RCh. 4 - Prob. 111RCh. 4 - Prob. 112RCh. 4 - Prob. 113RCh. 4 - Prob. 114RCh. 4 - Prob. 115RCh. 4 - Prob. 116RCh. 4 - Prob. 117RCh. 4 - Prob. 118RCh. 4 - Prob. 119RCh. 4 - Prob. 120RCh. 4 - Prob. 121RCh. 4 - Prob. 122RCh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Prob. 26TCh. 4 - Prob. 27TCh. 4 - Prob. 28TCh. 4 - Prob. 29TCh. 4 - Prob. 30TCh. 4 - Prob. 31TCh. 4 - Prob. 32TCh. 4 - Prob. 33TCh. 4 - Prob. 34TCh. 4 - Prob. 35TCh. 4 - Prob. 36TCh. 4 - Prob. 37TCh. 4 - Prob. 38TCh. 4 - Prob. 39TCh. 4 - Prob. 40TCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Write each number in words. 10. Round 1436 to the...Ch. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Prob. 21CRCh. 4 - Prob. 22CRCh. 4 - Prob. 23CRCh. 4 - Prob. 24CRCh. 4 - Prob. 25CRCh. 4 - Simplify: 6 > (-8) - (-9) + 3Ch. 4 - Prob. 27CRCh. 4 - Prob. 28CRCh. 4 - Prob. 29CRCh. 4 - Prob. 30CRCh. 4 - Prob. 31CRCh. 4 - Prob. 32CRCh. 4 - Prob. 33CRCh. 4 - Prob. 34CRCh. 4 - Prob. 35CRCh. 4 - Prob. 36CRCh. 4 - Prob. 37CRCh. 4 - Prob. 38CRCh. 4 - Prob. 39CRCh. 4 - Prob. 40CRCh. 4 - Prob. 41CRCh. 4 - Prob. 42CRCh. 4 - Prob. 43CRCh. 4 - Prob. 44CRCh. 4 - Prob. 45CRCh. 4 - Prob. 46CR
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