Let S be the universal set, where: {1, 2, 3, .., 18, 19, 20} Let sets A and B be subsets of S, where: Set A = {1, 2, 5, 6, 9, 10, 13, 16, 17, 18, 19, 20} Set B = {1,4, 5, 7, 8, 9, 10, 12, 16, 19} Find the following: LIST the elements in the set (A U B): (AU B) = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set (An B): (An B) = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE You may want to draw a Venn Diagram to help answer this question.

Let S be the universal set, where: {1, 2, 3, .., 18, 19, 20} Let sets A and B be subsets of S, where: Set A = {1, 2, 5, 6, 9, 10, 13, 16, 17, 18, 19, 20} Set B = {1,4, 5, 7, 8, 9, 10, 12, 16, 19} Find the following: LIST the elements in the set (A U B): (AU B) = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set (An B): (An B) = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE You may want to draw a Venn Diagram to help answer this question.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

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

Let S be the universal set, where:
S = {1,2, 3, ..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Set A = {1, 2, 5, 6, 9, 10, 13, 16, 17, 18, 19, 20}
Set B = {1,4, 5, 7, 8, 9, 10, 12, 16, 19}
Find the following:
LIST the elements in the set (AU B):
(AUB) = {
}
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (An B):
(An B) = {|
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
}
You may want to draw a Venn Diagram to help answer this question.

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