Let S be the universal set, where: S = {1, 2, 3, .., 18, 19, 20} Let sets A and B be subsets of S, where: %3D Set A = {4, 5, 9, 10, 11, 12, 14, 17, 18} Set B = {3, 4, 5, 6, 7, 11, 14, 16, 17, 19, 20} Find the following: The number of elements in the set (AN B): n(AN B°) = %3D The number of elements in the set (Bn A°): n(Bn A°) is

Let S be the universal set, where: S = {1, 2, 3, .., 18, 19, 20} Let sets A and B be subsets of S, where: %3D Set A = {4, 5, 9, 10, 11, 12, 14, 17, 18} Set B = {3, 4, 5, 6, 7, 11, 14, 16, 17, 19, 20} Find the following: The number of elements in the set (AN B): n(AN B°) = %3D The number of elements in the set (Bn A°): n(Bn A°) is

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:
%3D
Set A = {4, 5, 9, 10, 11, 12, 14, 17, 18}
Set B =
= {3, 4, 5, 6, 7, 11, 14, 16, 17, 19, 20}
Find the following:
The number of elements in the set (AN Bº):
n(AN B") =
%3!
The number of elements in the set (BN A°):
n(Bn A°) is

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