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Show that each of these conditional statements is a t tology by using truth tables. a) (p^q) → p c) p (p→ 9) b) p→ (pvq) d) (p^q) → (p →q)

Show that each of these conditional statements is a t tology by using truth tables. a) (p^q) → p c) p (p→ 9) b) p→ (pvq) d) (p^q) → (p →q)

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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13. Show that each conditional statement in Exercise 11 is a tautology using the fact that a conditional statement is false exactly when the hypothesis is true and the conclu- sion is false. (Do not use truth tables.)
Transcribed Image Text:13. Show that each conditional statement in Exercise 11 is a tautology using the fact that a conditional statement is false exactly when the hypothesis is true and the conclu- sion is false. (Do not use truth tables.)
11. Show that each of these conditional statements is a tau- tology by using truth tables. a) (p^q) → p p (p c) e) 9) (p →q) → P b) p → (pv q) d) (p^q) → (p →q) f) (p→q) → ¬q
Transcribed Image Text:11. Show that each of these conditional statements is a tau- tology by using truth tables. a) (p^q) → p p (p c) e) 9) (p →q) → P b) p → (pv q) d) (p^q) → (p →q) f) (p→q) → ¬q
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