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, 4, 7, 8, 12, 13, 16, 18, 19, 20}Set B = {2, 3, 8, 9, 10, 11, 12, 13, 19}Find the following:The number of elements in the set (AU B):n(AU B) =%3DThe number of elements in the set (AN B):n(An B) is

Union and Intersection of two sets: P∪Q is that the results of the union of 2 sets P and Q. this…

Answered: Let S be the universal set, where: S =…

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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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, 4, 7, 8, 12, 13, 16, 18, 19, 20}
Set B = {2, 3, 8, 9, 10, 11, 12, 13, 19}
Find the following:
The number of elements in the set (AU B):
n(AU B) =
%3D
The number of elements in the set (AN B):
n(An B) is

Expert Solution

Step 1

Union and Intersection of two sets:

$P \cup Q$ is that the results of the union of 2 sets P and Q. this can be the gathering of all the distinct components that form up P or Q. The image accustomed indicate a set's union is.

$P \cap Q$ represents the intersection of 2 sets P and Q. this can be the gathering of all the varied components found in each P and Q. The intersection of 2 sets is portrayed by the image.