Determine the truth value of each proposition. 1. p -(-p) (p→ g) <> (-q→-p) 2. 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Determine the truth value of each proposition.
1.
p+-(-p)
(p→a) > (-q →-p)
(p+>q) +> [(p →4)^(q →p)]
(p^q) <> (p ^ q)
2.
3.
4.
5.
Determine whether each proposition is a tautology.
(p^p)→p
(p^q)→(q^ p)
(p^q)^r+p^ (q^r)
p^ (qvr) <→ (p v q) ^ (p v r)
(p → q) <→ (~q → -p)
6.
7.
8.
9.
10.
Transcribed Image Text:Determine the truth value of each proposition. 1. p+-(-p) (p→a) > (-q →-p) (p+>q) +> [(p →4)^(q →p)] (p^q) <> (p ^ q) 2. 3. 4. 5. Determine whether each proposition is a tautology. (p^p)→p (p^q)→(q^ p) (p^q)^r+p^ (q^r) p^ (qvr) <→ (p v q) ^ (p v r) (p → q) <→ (~q → -p) 6. 7. 8. 9. 10.
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