PART 1: Logical Equivalence Direction: Use truth tables to verify these logical equivalences 1. (p^q) ⇒p=p⇒q 2. (p^q) ⇒ r = p = (-qVr) 3. (p⇒¬q)^(p⇒r) [p^(q V r)] 4. p(q^r) = (p⇒ q)^(p⇒r)
PART 1: Logical Equivalence Direction: Use truth tables to verify these logical equivalences 1. (p^q) ⇒p=p⇒q 2. (p^q) ⇒ r = p = (-qVr) 3. (p⇒¬q)^(p⇒r) [p^(q V r)] 4. p(q^r) = (p⇒ q)^(p⇒r)
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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![PART 1: Logical Equivalence
Direction: Use truth tables to verify these logical equivalences.
1. (p^q) p = p ⇒ q
2. (p^q) ⇒ r = p = (-qVr)
3. (p⇒¬q)^(pr) [p^(q V r)]
4. p(q^r) = (p⇒ q)^(p⇒r)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c069166-319e-495c-a66b-7c9c93781db8%2F83f2c003-7cdb-49ef-8fa4-e60d30686d38%2Fq07a0z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PART 1: Logical Equivalence
Direction: Use truth tables to verify these logical equivalences.
1. (p^q) p = p ⇒ q
2. (p^q) ⇒ r = p = (-qVr)
3. (p⇒¬q)^(pr) [p^(q V r)]
4. p(q^r) = (p⇒ q)^(p⇒r)
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