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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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