(a) p q = ¬pVq (b) p⇒ g =¬g —¬p)
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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Question
Use truth tables to show that:
(a) p −→ q ≡ ¬p ∨ q
Transcribed Image Text:1. Use truth tables to show that:
(a) p q = ¬pVq
(b) p |q=gp)
Answer:
Expert Solution
Step 1
(a).
In this problem to show that
Show draw the truth table as follows
| p | q | pq | ~p | p∨q |
| T | T | T | F | T |
| T | F | F | F | F |
| F | T | T | T | T |
| F | F | T | T | T |
from this table, we can say that columns pq and p ∨ q are identical.
∴
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