Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Use truth tables to show that:
(a) p −→ q ≡ ¬p ∨ q

 

1. Use truth tables to show that:
(a) p q = ¬pVq
(b) p |q=gp)
Answer:
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Transcribed Image Text:1. Use truth tables to show that: (a) p q = ¬pVq (b) p |q=gp) Answer:
Expert Solution
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Step 1

(a).

In this problem to show that pq¬pvq 

Show draw the truth table as follows

 

p q pq ~p ¬pq
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.
∴ pq ¬pq

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