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:

(a). In this problem to show that p→q≡¬pvq Show draw the truth table as follows p q p→q ~p…

Answered: (a) p q = ¬pVq (b) p⇒ g =¬g —¬p)

Math

Advanced Math

(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

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 $p \to q \equiv \neg p v q$

Show draw the truth table as follows

p	q	p $\to$ q	~p	$\neg$ 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 p $\to$ q and $\neg$ p ∨ q are identical.
∴ $p \to q \equiv \neg p \lor q$

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