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Textbooks / Math / Discrete Mathematics and Its Applications 7 / Chapter 2.2 / Problem 6E

Prove the identity laws in Table 1 by showing thata) A ? ?

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

Solution for problem 6E 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 6E

Problem 6E

Prove the identity laws in Table 1 by showing that

a) A ∪ ∅ = A.

b) A ∩ U = A.

 

Step-by-Step Solution:

Solution:

Step 1:

   

 NOTE: A set A is a subset of a set B  , or equivalently  B is  a superset of A , if A is contained inside B, that is all elements of A are also elements of B. A and B may coincide.That is

                                               

    UNION: The union of  two  sets  A and B  is  the  set containing  all elements that are in A  or in B ( possibly both).

       Then it is denoted by    , we can write  if and only if  or .

       Note :

     Example :

          A= { a, b} , B = {b ,c} then .

   The union of sets A and B is  shown by the shaded area in the venn diagram:

                                       

                 

Step 2 of 3

Chapter 2.2, Problem 6E is Solved
Step 3 of 3

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

The full step-by-step solution to problem: 6E from chapter: 2.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: Identity, laws, prove, showing, Table. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Prove the identity laws in Table 1 by showing thata) A ? ? = A.________________b) A ? U = A.” is broken down into a number of easy to follow steps, and 20 words. Since the solution to 6E from 2.2 chapter was answered, more than 706 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095.

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