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2. Are the following propositions logically equivalent ? p→ (¬q^r), ¬pV¬(r → q). Yes No Don't know 3. Determine whether the following proposition is a tautology: ((p → ¬q)^q) → ¬p Tautology ONot Tautology Don't know

2. Are the following propositions logically equivalent ? p→ (¬q^r), ¬pV¬(r → q). Yes No Don't know 3. Determine whether the following proposition is a tautology: ((p → ¬q)^q) → ¬p Tautology ONot Tautology Don't know

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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Please help me with #2 and #3.Thank you so much!!

1. State truth value of: If 1+1= 2 or 1+1=3 then 2+2 = 3 and 2+2 = 4. True False Don't know Are the following propositions logically equivalent ? p → (-qAr), -pV¬(r → q). Don't know 2. ONo Yes Determine whether the following proposition is a tautology: ((p → ¬q) ^q) → ¬p ONot Tautology 3. Don't know Tautology
Transcribed Image Text:1. State truth value of: If 1+1= 2 or 1+1=3 then 2+2 = 3 and 2+2 = 4. True False Don't know Are the following propositions logically equivalent ? p → (-qAr), -pV¬(r → q). Don't know 2. ONo Yes Determine whether the following proposition is a tautology: ((p → ¬q) ^q) → ¬p ONot Tautology 3. Don't know Tautology
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