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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(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.
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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