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5. Show that (¬ p V q) → ((p ^ ¬q) is a tautology.

5. Show that (¬ p V q) → ((p ^ ¬q) is a tautology.

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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5. Show that (– p V q) → ((p ^ ¬q) is a tautology. 6. Use the laws of propositional logic to show that: a) (p V q) ^ ¬q="p ^ q b) (-p V q) → (p A q) = P c) pA (-p→ q) = P (Note not use Truth Table)
Transcribed Image Text:5. Show that (– p V q) → ((p ^ ¬q) is a tautology. 6. Use the laws of propositional logic to show that: a) (p V q) ^ ¬q="p ^ q b) (-p V q) → (p A q) = P c) pA (-p→ q) = P (Note not use Truth Table)
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