Using the image below; (i) Determine if the following statement is tautology: (ii) if yes or no, state the reason why
Using the image below; (i) Determine if the following statement is tautology: (ii) if yes or no, state the reason why
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
Using the image below;
(i) Determine if the following statement is tautology:
(ii) if yes or no, state the reason why
Transcribed Image Text:(pqr) → ((pv q v r) ^ ¬ ((p ^ r) v (q ^ r) v (p ^ q)))
Question 1C Mar
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Follow-up Question
Thank you for your response, since it was not included in the response, is it possible to provide the logics you applied?
Example for: p ∧ r , q ∧ r , p ∧ q, I know that it would be "If both A & B are true then A ∧ B is true otherwise false. I do not know how to denote statements with more than 2 variables. Therefore showing this will help me to understand. Thank you.
Specifically,
- p ⊕ q ⊕ r
- p ∨ q ∨ r
- ¬ p ∧ r ∨ q ∧ r ∨ p ∧ q
- p ∨ q ∨ r
- ((p ∨ q ∨ r) ¬ (p ∧ r ∨ q ∧ r ∨ p ∧ q))
- (p ⊕ q ⊕ r) ↔ ((p ∨ q ∨ r) ¬ (p ∧ r ∨ q ∧ r ∨ p ∧ q))
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