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# Lei p, q, and r be the propositionsp : Grizzly bears have

ISBN: 9780073383095 37

## Solution for problem 15E Chapter 1.1

Discrete Mathematics and Its Applications | 7th Edition

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Problem 15E

Lei 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 connectives (including negations).

a) Berries are ripe along the trait, but grizzly bears have not been seen in the area.

b)Grizzly bears have not been seen in the area and hiking 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.

f)   Hiking is not safe on the trail whenever grizzly bears have been seen in the area and berries are ripe along the trail.

Step-by-Step Solution:

Step 1 :

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 connectives (including negations).

Step 2 of 2

##### ISBN: 9780073383095

The answer to “Lei p, q, and r be the propositionsp : 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 connectives (including negations).a) Berries are ripe along the trait, but grizzly bears have not been seen in the area.________________b)Grizzly bears have not been seen in the area and hiking 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.________________f) Hiking is not safe on the trail whenever grizzly bears have been seen in the area and berries are ripe along the trail.” is broken down into a number of easy to follow steps, and 187 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 15E from 1.1 chapter was answered, more than 294 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. This full solution covers the following key subjects: Trail, berries, bears, been, area. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 15E from chapter: 1.1 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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