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.)

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Chapter2: Second-order Linear Odes
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i need Q13 solution (Part D E F)

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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