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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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Using the image below; (i) Determine if the following statement is tautology: (ii) if yes or no, state the reason why
(pqr) → ((pv q v r) ^ ¬ ((p ^ r) v (q ^ r) v (p ^ q))) Question 1C Mar
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,

  1.  p ⊕ q ⊕ r
  2. p ∨ q ∨ r
  3. ¬ p ∧ r ∨ q ∧ r ∨ p ∧ q
  4. p ∨ q ∨ r
  5. ((p ∨ q ∨ r) ¬ (p ∧ r ∨ q ∧ r ∨ p ∧ q))
  6. (p ⊕ q ⊕ r) ↔ ((p ∨ q ∨ r) ¬ (p ∧ r ∨ q ∧ r ∨ p ∧ q))

 

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