17. Express these system specifications using the propositions p: The user enters a valid password q: Access is granted r: The user has paid the subscription fee 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. c) Access is denied if the user has not paid the subscription fee
17. Express these system specifications using the propositions p: The user enters a valid password q: Access is granted r: The user has paid the subscription fee 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. c) Access is denied if the user has not paid the subscription fee
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 36E
Related questions
Question
![17. Express these system specifications using the propositions
p: The user enters a valid password
q: Access is granted
r: The user has paid the subscription fee
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.
c) 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.
18. Use truth tables to verify the followings:
a) (p ^ q) = ¬V¬q.
b) p q and¬q→ ¬p
19. Show that each of the following conditional statements is a tautology without using truth
tables.
a) (p ^ q) P = T
b) p → (pv q) = T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71b3b85c-3d6d-4213-b14c-ed9dfd329f04%2F1f516270-5fd3-46d6-8d38-417a796ff153%2Fum15509_processed.jpeg&w=3840&q=75)
Transcribed Image Text:17. Express these system specifications using the propositions
p: The user enters a valid password
q: Access is granted
r: The user has paid the subscription fee
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.
c) 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.
18. Use truth tables to verify the followings:
a) (p ^ q) = ¬V¬q.
b) p q and¬q→ ¬p
19. Show that each of the following conditional statements is a tautology without using truth
tables.
a) (p ^ q) P = T
b) p → (pv q) = T
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