6. (P Q) A (Q→ P) = P > Q. 7. (P Q) A (Q→ R) = P R
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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Question
(please solve 6,7,)
![Verify the following facts by providing its truth tables.
Fact 1.2.1. Let P, Q, R and S be statements.
1. (P- Q) A P Q.
2. (P Q) A ¬Q=-P.
3. PAQ P.
4. (P V Q) A -P Q.
5. P >Q=P Q.
6. (P> Q) A (Q→ P) = P > Q.
7. (P Q) A (Q→ R) = P R
8. (P→ Q) ^ (R → S) A (P V R) =QV S.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdef445c2-69da-47fa-903a-d8a0cfdd9a43%2F7064254a-aa83-4237-a152-3d5948fccd90%2Fh0cfly_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Verify the following facts by providing its truth tables.
Fact 1.2.1. Let P, Q, R and S be statements.
1. (P- Q) A P Q.
2. (P Q) A ¬Q=-P.
3. PAQ P.
4. (P V Q) A -P Q.
5. P >Q=P Q.
6. (P> Q) A (Q→ P) = P > Q.
7. (P Q) A (Q→ R) = P R
8. (P→ Q) ^ (R → S) A (P V R) =QV S.
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