17. Let p, q, and r be the propositions p: Grizzly bears have been seen in the area. q: Hiking is safe on the trail. r: Berries are ripe along the trail. Write these propositions using p, q, and r and logical con- nectives (including negations). a) Berries are ripe along the trail, but grizzly bears have not been seen in the area. b) Grizzly bears have not been seen in the area and hik- ing on the trail is safe, but berries are ripe along the trail. c) If berries are ripe along the trail, hiking is safe if and only if grizzly bears have not been seen in the area. d) It is not safe to hike on the trail, but grizzly bears have not been seen in the area and the berries along the trail are ripe. e) For hiking on the trail to be safe, it is necessary but not sufficient that berries not be ripe along the trail and for grizzly bears not to have been seen in the ar area
17. Let p, q, and r be the propositions p: Grizzly bears have been seen in the area. q: Hiking is safe on the trail. r: Berries are ripe along the trail. Write these propositions using p, q, and r and logical con- nectives (including negations). a) Berries are ripe along the trail, but grizzly bears have not been seen in the area. b) Grizzly bears have not been seen in the area and hik- ing on the trail is safe, but berries are ripe along the trail. c) If berries are ripe along the trail, hiking is safe if and only if grizzly bears have not been seen in the area. d) It is not safe to hike on the trail, but grizzly bears have not been seen in the area and the berries along the trail are ripe. e) For hiking on the trail to be safe, it is necessary but not sufficient that berries not be ripe along the trail and for grizzly bears not to have been seen in the ar area
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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part D E F
Transcribed Image Text:17. Let p, q, and r be the propositions
p: Grizzly bears have been seen in the area.
q: Hiking is safe on the trail.
r: Berries are ripe along the trail.
Write these propositions using p, q, and r and logical con-
nectives (including negations).
a) Berries are ripe along the trail, but grizzly bears have
not been seen in the area.
b) Grizzly bears have not been seen in the area and hik-
ing on the trail is safe, but berries are ripe along the
trail.
c) If berries are ripe along the trail, hiking is safe if and
only if grizzly bears have not been seen in the area.
d) It is not safe to hike on the trail, but grizzly bears have
not been seen in the area and the berries along the trail
are ripe.
e) For hiking on the trail to be safe, it is necessary but
not sufficient that berries not be ripe along the trail
and for grizzly bears not to have been seen in the area.
Transcribed Image Text:f) Hiking is not safe on the trail whenever grizzly bears
have been seen in the area and berries are ripe along
the trail.
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