Construct a truth table for each statement. Identify any tautologies. 5. ~q→p 56. р —~g 7. (~p q)→p 58. (~q→~p) . (p V g) →(g V p) 60. (р Л 9) —

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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Construct a truth table for each statement. Identify any tautologies.
55. ~q→p
56. р >~g
57. (~p→q)→p
58. (~q→~p)→~9
59. (p V q) → (q V p)
60. (p A q)→(p V q)
62. r→ (p ^ ~q)
51. (~p→ ~q)–→ (p ^ q)
3. [(r V p) ^ ~q]→p
64. [(r ^ p) ^ (p ^ q)]→ p
or> s) V (n> ~a)
66. (~p A ~g) → (s → r)
Transcribed Image Text:Construct a truth table for each statement. Identify any tautologies. 55. ~q→p 56. р >~g 57. (~p→q)→p 58. (~q→~p)→~9 59. (p V q) → (q V p) 60. (p A q)→(p V q) 62. r→ (p ^ ~q) 51. (~p→ ~q)–→ (p ^ q) 3. [(r V p) ^ ~q]→p 64. [(r ^ p) ^ (p ^ q)]→ p or> s) V (n> ~a) 66. (~p A ~g) → (s → r)
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