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Show that if A and B are sets, then

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 19E Chapter 2.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 19E

Show that if A and B are sets, then

Step-by-Step Solution:

Solution :

Step 1:

In this problem we have to show these conditions , where A and B are two sets.

Formulas:   1.            = X - B,

2.   A A = A

3.    AA =

Definitions:

Union: the union of the sets A and B , denoted by , which is the set that contains those element that are either in A or in B , or in both.

Therefore     = { }.

Intersection : the intersection of the sets A and B , it is denoted by , which is the set containing those elements in both A and B.

Therefore    .

Set difference : the difference of A and B is denoted by A -B, which is the set containing the element of A that are not in B .

A - B = { }=

Step 2 of 3

Chapter 2.2, Problem 19E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Show that if A and B are sets, then