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18. Determine whether the given propositional forms are logically equivalent. a. p (qr) and (p q) ^ (pr) b. (pq) →r and p (q+r) c. ~(pq) and pq S200STI Belmont -(049) 18

18. Determine whether the given propositional forms are logically equivalent. a. p (qr) and (p q) ^ (pr) b. (pq) →r and p (q+r) c. ~(pq) and pq S200STI Belmont -(049) 18

Advanced Engineering Mathematics
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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I hope you can answer these two problems. 

18. Determine whether the given propositional forms are logically equivalent. a. p (qr) and (p q) ^ (pr) b. (p→q) →r and p→ (q + r) c. ~(pq) and p q d. ~ (p V q V r) and p^~q^~ r e. (pvq~r) V (p V~q^r) and p^ (q + r) S200STI On smart12 *-(049) 1+(919) (4-9-0 00
Transcribed Image Text:18. Determine whether the given propositional forms are logically equivalent. a. p (qr) and (p q) ^ (pr) b. (p→q) →r and p→ (q + r) c. ~(pq) and p q d. ~ (p V q V r) and p^~q^~ r e. (pvq~r) V (p V~q^r) and p^ (q + r) S200STI On smart12 *-(049) 1+(919) (4-9-0 00
7 6. Find the negation of the following statements: minimai ar y lo noiansqxo lemiosh oda a. p:0≥x>5 Evd sidiervib as sodrum oti nodi eyd oldiivib ai 15dmun a b. q:4+5<10 asgomi svilegon sei E-norb jogomi nove ms di c. r: Manila is the capital of the Philippines. +mkam mult olgnina a E d. a: It is not the case that 2 is an odd integer.vizoqsinoo bas provni sasvos di e. b: If n is divisible by 30, then it is divisible by 2, 3, and 5.d mengoi totum v Construct th
Transcribed Image Text:7 6. Find the negation of the following statements: minimai ar y lo noiansqxo lemiosh oda a. p:0≥x>5 Evd sidiervib as sodrum oti nodi eyd oldiivib ai 15dmun a b. q:4+5<10 asgomi svilegon sei E-norb jogomi nove ms di c. r: Manila is the capital of the Philippines. +mkam mult olgnina a E d. a: It is not the case that 2 is an odd integer.vizoqsinoo bas provni sasvos di e. b: If n is divisible by 30, then it is divisible by 2, 3, and 5.d mengoi totum v Construct th
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