symbolic form of the proposition

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter13: Decision Making Under Uncertainty
Section13.4: Decision Trees
Problem 5P
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Give the correct answers. (Numbers 2 and 3 are the pictures shown)

1. Determine if the proporsotion (p→q) ↔ (q ∨ ¬p) is a tautology, contradiction or contingency.

Which of the following is the symbolic form of the proposition "Hiking is not safe of the trail
whenever grizzly bears have not been seen in the area and berries are ripe along the trail"?
Select one:
a. (q -> (p v r))
b. (-p a r) -> -q
c. (-q -> (-p ^ r))
d. (-p v r) -> ¬q
Transcribed Image Text:Which of the following is the symbolic form of the proposition "Hiking is not safe of the trail whenever grizzly bears have not been seen in the area and berries are ripe along the trail"? Select one: a. (q -> (p v r)) b. (-p a r) -> -q c. (-q -> (-p ^ r)) d. (-p v r) -> ¬q
Which of the following is the symbolic form of the proposition "For hiking on the trail to be
safe, it is necessary that berries not be ripe along the trail and for grizzly bears not to have
been seen in the area"?
Select one:
a. (-p A q) -> -r
b. (q -> (-r ^ -p))
c. (-rA -p) -> q
d. (q -> (-r v ¬p))
Transcribed Image Text:Which of the following is the symbolic form of the proposition "For hiking on the trail to be safe, it is necessary that berries not be ripe along the trail and for grizzly bears not to have been seen in the area"? Select one: a. (-p A q) -> -r b. (q -> (-r ^ -p)) c. (-rA -p) -> q d. (q -> (-r v ¬p))
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