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Solved: Express these system specifications using the

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

Solution for problem 8E Chapter 1.2

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 8E

Express these system specifications using the propositions p “The user enters a valid password,” q “Access is granted,” and r “The user has paid the subscription fee” and logical connectives (including negations).

a) “The user has paid the subscription fee, but does not enter a valid password.”

b) “Access is granted whenever the user has paid the subscription fee and enters a valid password.”

d) “Access is denied if the user has not paid the subscription fee.”

d) “If the user has not entered a valid password but has paid the subscription fee, then access is granted.”

Step-by-Step Solution:

Step 1</p>

Given the statements

We have to express the given propositions using the logical connectivity.

Step 2</p>

a) “The user has paid the subscription fee, but does not enter a valid password.”

                     

Step 3</p>

b) “Access is granted whenever the user has paid the subscription fee and enters a valid password.”

                     

Step 4 of 5

Chapter 1.2, Problem 8E is Solved
Step 5 of 5

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

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Solved: Express these system specifications using the

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