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Suppose p, q, andr are propositions. Let the expression (p --> q) -->r be a contradiction. Which of the following is FALSE? * ris false P-q is false p--> q is true The information given is incomplete.

Suppose p, q, andr are propositions. Let the expression (p --> q) -->r be a contradiction. Which of the following is FALSE? * ris false P-q is false p--> q is true The information given is incomplete.

Advanced Engineering Mathematics
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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Suppose p, q. andrare propositions. Let the expression (p --> q) --> r be a contradiction. Which of the following is FALSE? * O ris false p --> q is false O p ---> q is true The information given is incomplete.
Transcribed Image Text:Suppose p, q. andrare propositions. Let the expression (p --> q) --> r be a contradiction. Which of the following is FALSE? * O ris false p --> q is false O p ---> q is true The information given is incomplete.
The truth table for p V True is shoun beloo : P True pV true T T T True F True т The compound statement pA (p = 9) is a tautology. Which of the followingis alsoa tau tology? A. pA (p = 9)) B. [pA (p = q)) = 9 C. pA (p = 9)) D. pA (p E. pA (p = 9) = (-qVp) False True (pv 4) All of them are tautologies. Only A, C, and D are tautologies Only A, C, and E are tautologies. Only A is not a tautology.
Transcribed Image Text:The truth table for p V True is shoun beloo : P True pV true T T T True F True т The compound statement pA (p = 9) is a tautology. Which of the followingis alsoa tau tology? A. pA (p = 9)) B. [pA (p = q)) = 9 C. pA (p = 9)) D. pA (p E. pA (p = 9) = (-qVp) False True (pv 4) All of them are tautologies. Only A, C, and D are tautologies Only A, C, and E are tautologies. Only A is not a tautology.
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