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Prove the complement laws in Table 1 by showing thata)

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

Solution for problem 9E 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 9E

Prove the complement laws in Table 1 by showing that

a) 

b)

Step-by-Step Solution:
Step 1 of 3

Solution:

Step1

Given that

The  complement  laws .

Step2

To find

 We have to prove the complement laws.

Step3

 Complement  laws :- The supplement of a set B refers to components not in B.

a)

Here , Right hand side=

And Left hand side=

Now

Left hand side=

                      =

                     =

                     =

                     =

                      = U

                     = Right hand side

Therefore,.

Step4

b)

Here , Right hand side=Ø

And Left hand side=

Now

Left hand side=

                      =

                     =

                     = Ø

                     = Right hand side.

Therefore,

Step 2 of 3

Chapter 2.2, Problem 9E is Solved
Step 3 of 3

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

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Prove the complement laws in Table 1 by showing thata)