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 = {6, 7, 11, 13, 16, 19, 20} Set B = {1, 5, 7, 10, 11, 13, 14, 18, 19, 20} Find the following: The number of elements in the set (A n B“): n(AN Bº) | The number of elements in the set (B N A): n(BN A°) is You may want to draw a Venn Diagram to help answer this 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 = {6, 7, 11, 13, 16, 19, 20} Set B = {1, 5, 7, 10, 11, 13, 14, 18, 19, 20} Find the following: The number of elements in the set (A n B“): n(AN Bº) | The number of elements in the set (B N A): n(BN A°) is 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 = {6, 7, 11, 13, 16, 19, 20}
Set B = {1, 5, 7, 10, 11, 13, 14, 18, 19, 20}
Find the following:
The number of elements in the set (AN B*):
n(AN B“) =|
The number of elements in the set (BN A*):
n(BN Aª) is
You may want to draw a Venn Diagram to help answer this question.

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