5. Use abbreviated truth tables to show that each of the following arguments 1) Pv-Q, -R • S), ~(-P•-S), .. -Q→R 2) P+Q. Q +R, (R v S) v (P v Q), ~R→(T•U), (S → -P) • (~S → U→(-V→~U), (R v P) • (S v W), :. U•W
5. Use abbreviated truth tables to show that each of the following arguments 1) Pv-Q, -R • S), ~(-P•-S), .. -Q→R 2) P+Q. Q +R, (R v S) v (P v Q), ~R→(T•U), (S → -P) • (~S → U→(-V→~U), (R v P) • (S v W), :. U•W
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.CT: Test
Problem 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...
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![5. Use abbreviated truth tables to show that each of the following arguments is invalid:
1) Pv-Q, -R • S), -(-P• -S), .. -Q→R
2) P+ Q. Q →R, (R v S) v (P v Q). -R → (T• U), (S → -P) • (~S → -V),
U- (-V →-U), (R v P) • (S v W), :. U•W
6. Use abbreviated truth tables to show that each of the following arguments is valid
(fully explain each step of your reasoning as you proceed):
1) (P• Q) → R, (-R → ~Q) → S, . P →S
2) [P v (Q • -R)]→ S, Q→-(P v -R), Q. :. (P v -R) →S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46d7a445-a0b6-4898-a4df-bd211d1e95a1%2F98a40211-b993-4e0b-8a4a-e4559b0dfdb2%2Famgwqzj_processed.png&w=3840&q=75)
Transcribed Image Text:5. Use abbreviated truth tables to show that each of the following arguments is invalid:
1) Pv-Q, -R • S), -(-P• -S), .. -Q→R
2) P+ Q. Q →R, (R v S) v (P v Q). -R → (T• U), (S → -P) • (~S → -V),
U- (-V →-U), (R v P) • (S v W), :. U•W
6. Use abbreviated truth tables to show that each of the following arguments is valid
(fully explain each step of your reasoning as you proceed):
1) (P• Q) → R, (-R → ~Q) → S, . P →S
2) [P v (Q • -R)]→ S, Q→-(P v -R), Q. :. (P v -R) →S
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