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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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Just started learning proposition and truth table, but I am still a bit confused on this subject. Can you help me figure out which of the provided are valid logical equivalences.

### Select the Valid Logical Equivalences 1. □ ¬p ∧ (p ∨ ¬q) ≡ ¬q 2. □ ¬p → q ≡ p ∨ q 3. □ p ↔ q ≡ ¬(p ⊕ q) 4. □ p → q ≡ q → p 5. □ (¬p ∧ q) ∨ (p ∧ ¬q) ≡ (p ∨ q) ∧ (¬p ∨ ¬q) 6. □ ¬p ∨ ¬q ≡ ¬(p ∨ q)
Transcribed Image Text:### Select the Valid Logical Equivalences 1. □ ¬p ∧ (p ∨ ¬q) ≡ ¬q 2. □ ¬p → q ≡ p ∨ q 3. □ p ↔ q ≡ ¬(p ⊕ q) 4. □ p → q ≡ q → p 5. □ (¬p ∧ q) ∨ (p ∧ ¬q) ≡ (p ∨ q) ∧ (¬p ∨ ¬q) 6. □ ¬p ∨ ¬q ≡ ¬(p ∨ q)
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