Explanation Given information: Given intervals are I 1 = ( − ∞ , − 3 ] ; I 2 = ( − 3 , ∞ ) Calculation: A ∪ B represents the union of sets A and B and the set includes the elements that are either in set A or set B. A ∩ B represents the intersection of sets A and B and the set includes the elements that are common to both sets A and B. The union is given by the interval that includes elements obtained by combing both intervals i.e. I 1 ∪ I 2 = ( − ∞ , − 3 ] ∪ ( − 3 , ∞ ) I 1 ∪ I 2 = ( − ∞ , ∞ ) The intersection is given by the interval that is in common to both the intervals i

Pearson eText for Precalculus: A Unit Circle Approach -- Instant Access (Pearson+)

3rd Edition

ISBN: 9780137442591

Author: J. S. Ratti, Marcus McWaters

Publisher: PEARSON+

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Chapter A.1, Problem 20E

To determine

To find the union and the intersection of the given intervals.

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Chapter A.1, Problem 19E

Chapter A.1, Problem 21E

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Chapter A.1 Solutions

Pearson eText for Precalculus: A Unit Circle Approach -- Instant Access (Pearson+)

Ch. A.1 - In Exercises 1-4, write each of the following...Ch. A.1 - In Exercises 1-4, write each of the following...Ch. A.1 - In Exercises 1-4, write each of the following...Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - In Exercises 5-10, classify each of the following...Ch. A.1 - Prob. 10E

Ch. A.1 - Prob. 11E Ch. A.1 - Prob. 12E Ch. A.1 - Prob. 13E Ch. A.1 - Prob. 14E Ch. A.1 - Prob. 15E Ch. A.1 - Prob. 16E Ch. A.1 - Prob. 17E Ch. A.1 - Prob. 18E Ch. A.1 - Prob. 19E Ch. A.1 - Prob. 20E Ch. A.1 - Prob. 21E Ch. A.1 - Prob. 22E Ch. A.1 - Prob. 23E Ch. A.1 - Prob. 24E Ch. A.1 - In Exercises 25-38, rewrite each expression...Ch. A.1 - Prob. 26E Ch. A.1 - Prob. 27E Ch. A.1 - Prob. 28E Ch. A.1 - Prob. 29E Ch. A.1 - Prob. 30E Ch. A.1 - Prob. 31E Ch. A.1 - Prob. 32E Ch. A.1 - Prob. 33E Ch. A.1 - Prob. 34E Ch. A.1 - Prob. 35E Ch. A.1 - Prob. 36E Ch. A.1 - Prob. 37E Ch. A.1 - Prob. 38E Ch. A.1 - Prob. 39E Ch. A.1 - Prob. 40E Ch. A.1 - Prob. 41E Ch. A.1 - Prob. 42E Ch. A.1 - Prob. 43E Ch. A.1 - Prob. 44E Ch. A.1 - Prob. 45E Ch. A.1 - Prob. 46E Ch. A.1 - Prob. 47E Ch. A.1 - Prob. 48E Ch. A.1 - Prob. 49E Ch. A.1 - Prob. 50E Ch. A.1 - Prob. 51E Ch. A.1 - Prob. 52E Ch. A.1 - Prob. 53E Ch. A.1 - Prob. 54E Ch. A.1 - Prob. 55E Ch. A.1 - Prob. 56E Ch. A.1 - Prob. 57E Ch. A.1 - Prob. 58E Ch. A.1 - Prob. 59E Ch. A.1 - Prob. 60E Ch. A.1 - Prob. 61E Ch. A.1 - Prob. 62E Ch. A.1 - Prob. 63E Ch. A.1 - Prob. 64E Ch. A.1 - Prob. 65E Ch. A.1 - Prob. 66E Ch. A.1 - Prob. 67E Ch. A.1 - In Exercises 59-68, evaluate each expression for...Ch. A.1 - Prob. 69E Ch. A.1 - Prob. 70E Ch. A.1 - Prob. 71E Ch. A.1 - Prob. 72E Ch. A.1 - Prob. 73E Ch. A.1 - Prob. 74E Ch. A.1 - Prob. 75E Ch. A.1 - Prob. 76E Ch. A.1 - Prob. 77E Ch. A.1 - Prob. 78E Ch. A.1 - Prob. 79E Ch. A.1 - Prob. 80E Ch. A.1 - Prob. 81E Ch. A.1 - Prob. 82E Ch. A.1 - Prob. 83E Ch. A.1 - Prob. 84E Ch. A.1 - Prob. 85E Ch. A.1 - Prob. 86E Ch. A.1 - Prob. 87E Ch. A.1 - Prob. 88E Ch. A.1 - Prob. 89E Ch. A.1 - Prob. 90E Ch. A.1 - Prob. 91E Ch. A.1 - Prob. 92E Ch. A.1 - Prob. 93E Ch. A.1 - Prob. 94E Ch. A.1 - Prob. 95E Ch. A.1 - Prob. 96E Ch. A.1 - Prob. 97E Ch. A.1 - Prob. 98E Ch. A.1 - Prob. 99E Ch. A.1 - Prob. 100E Ch. A.1 - Prob. 101E Ch. A.1 - Prob. 102E Ch. A.1 - Prob. 103E Ch. A.1 - Prob. 104E Ch. A.1 - Prob. 105E Ch. A.1 - Prob. 106E Ch. A.1 - Prob. 107E Ch. A.1 - Prob. 108E Ch. A.1 - Prob. 109E Ch. A.1 - In Exercises 101-134, simplify each expression....Ch. A.1 - Prob. 111E Ch. A.1 - Prob. 112E Ch. A.1 - Prob. 113E Ch. A.1 - Prob. 114E Ch. A.1 - Prob. 115E Ch. A.1 - Prob. 116E Ch. A.1 - Prob. 117E Ch. A.1 - Prob. 118E Ch. A.1 - Prob. 119E Ch. A.1 - Prob. 120E Ch. A.1 - Prob. 121E Ch. A.1 - Prob. 122E Ch. A.1 - Prob. 123E Ch. A.1 - Prob. 124E Ch. A.1 - Prob. 125E Ch. A.1 - Prob. 126E Ch. A.1 - Prob. 127E Ch. A.1 - Prob. 128E Ch. A.1 - Prob. 129E Ch. A.1 - Prob. 130E Ch. A.1 - Prob. 131E Ch. A.1 - Prob. 132E Ch. A.1 - Prob. 133E Ch. A.1 - Prob. 134E Ch. A.1 - Prob. 135E Ch. A.1 - Prob. 136E Ch. A.1 - Prob. 137E Ch. A.1 - Prob. 138E Ch. A.1 - Prob. 139E Ch. A.1 - Prob. 140E Ch. A.1 - Prob. 141E Ch. A.1 - Prob. 142E

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To find the union and the intersection of the given intervals.

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To find the union and the intersection of the given intervals.

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Chapter A.1 Solutions