17) -p -(-p^ s) A) P|s|-p{-p^s) TT TF FT FF| C) Ps-p(-p^ s) TT TF FT F|F| 17) В) p|s|-p (-pa s) T|T TF FT FF D) Ps-p(-p ^ s) TT TF FT F|F| F T T T F T Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositions p: "9 -9 - 81" 18) The contrapositive of p -q A) If 8 - 10 is less than 7 - 11, then 9 - 9 is equal to 81; false B) If 8 - 10 is not less than 7 - 11, then 9 -9 is not equal to 81; false C) If 8 - 10 is not less than 7 - 11, then 9 -9 is equal to 81; false D) If 8 - 10 is less than 7 - 11, then 9 -9 is not equal to 81; false q: "8 - 10 <7-11 18) PAGE 7 REVIEW_SANJAC
17) -p -(-p^ s) A) P|s|-p{-p^s) TT TF FT FF| C) Ps-p(-p^ s) TT TF FT F|F| 17) В) p|s|-p (-pa s) T|T TF FT FF D) Ps-p(-p ^ s) TT TF FT F|F| F T T T F T Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositions p: "9 -9 - 81" 18) The contrapositive of p -q A) If 8 - 10 is less than 7 - 11, then 9 - 9 is equal to 81; false B) If 8 - 10 is not less than 7 - 11, then 9 -9 is not equal to 81; false C) If 8 - 10 is not less than 7 - 11, then 9 -9 is equal to 81; false D) If 8 - 10 is less than 7 - 11, then 9 -9 is not equal to 81; false q: "8 - 10 <7-11 18) PAGE 7 REVIEW_SANJAC
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 the proposition.
17) ~p - (~p ^ s)
A)
17)
B)
ps~p -(~p ^ s)
ps~p -(~p ^ s)
T|T
TF
T
T|F
FT
F F
F
FT
F F
C)
p s -p -(~p s)
TT
T
T
F
F
D)
ps~p-(~p a s)
TT
T
T F
FT
F
TF
T
FT
T
F F
F
F F
Express the proposition as an English sentence and determine whether it is true or false, where p and q are the
propositions
p: "9 ·9 = 81"
q: "8 · 10 < 7 · 11
18) The contrapositive of p - q
18)
A) If 8 · 10 is less than 7 · 11, then 9 · 9 is equal to 81; false
B) If 8 · 10 is not less than 7 · 11, then 9 · 9 is not equal to 81; false
C) If 8 · 10 is not less than 7 · 11, then 9 9 is equal to 81; false
D) If 8 · 10 is less than 7 · 11, then 9 9 is not equal to 81; false
PAGE 7 REVIEW_SANJAC
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
Provide an appropriate response.
Q
19)
19) Construct a truth table for the proposition and determine whether it is a contingency, a
tautology, or a contradiction: (q v p) ^ ~q.
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