1. Construct the truth table of the compound statement [p + (~p v q)] A ~p. Also, determine whether the given compound statement is a tautology, contradiction or contingency. 2. Determine whether the following compound statements are logically equivalent using truth tables. (a) (p v -q) A ~p and -(p v q) (b) ~(p -q) and ~(-p>q)
1. Construct the truth table of the compound statement [p + (~p v q)] A ~p. Also, determine whether the given compound statement is a tautology, contradiction or contingency. 2. Determine whether the following compound statements are logically equivalent using truth tables. (a) (p v -q) A ~p and -(p v q) (b) ~(p -q) and ~(-p>q)
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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![1. Construct the truth table of the compound statement [p + (~p v q)] ^ ~p. Also, determine whether the given compound
statement is a tautology, contradiction or contingency.
2. Determine whether the following compound statements are logically equivalent using truth tables.
(a) (p v ~q) A ~p and ~(p v q)
(b) ~(p → ~q) and ~(~p>q)
3. Simplify the compound statement ~(~p ^ ~q) ^ (~p v q) ^ (p v ~q) ^ (~p v ~q) using the laws of equivalence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F195667fc-5f57-49e4-bf46-05fa797e459e%2F7ebffb6a-c4ee-4fcc-9a60-dc397c9db873%2Fpesbjut_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Construct the truth table of the compound statement [p + (~p v q)] ^ ~p. Also, determine whether the given compound
statement is a tautology, contradiction or contingency.
2. Determine whether the following compound statements are logically equivalent using truth tables.
(a) (p v ~q) A ~p and ~(p v q)
(b) ~(p → ~q) and ~(~p>q)
3. Simplify the compound statement ~(~p ^ ~q) ^ (~p v q) ^ (p v ~q) ^ (~p v ~q) using the laws of equivalence.
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