4. Let p, q, and r be the statements p: Grizzly bears have been seen in the area. q: Hiking is safe on the trail. r: Berries are ripe along the trail. Write the following statements in symbolic form. a.) If berries are ripe along the trail, then hiking is safe if and only if grizzly bears have not been seen in the area. b.) Grizzly bears have nof been seen in the area and hiking on the trail is safe, but berries are ripe along the trail. c.) Hiking is nof safe on the trail whenever grizzly bears have been seen in the area and berries are ripe along the trail.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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II.4 COMPLETE SOLUTIONS
4. Let p, q, and r be the statements
p: Grizzly bears have been seen in the area.
q: Hiking is safe on the trail.
r: Berries are ripe along the trail.
Write the following statements in symbolic form.
a.) If berries are ripe along the trail, then hiking is safe if and only if 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.) Hiking is nof safe on the trail whenever grizzly bears have been seen in the area
and berries are ripe along the trail.
5. Determine whether these biconditionals are true or false.
a.) 1 + 1 = 3 if and only if monkeys can fly.
b.) 0>1 if and only if 2 > 1.
6. Write each of the propositions in the form “p if and only if q":
a.) For you to get a passing mark in this course, it is necessary and sufficient that you
learn how to solve mathematics problems.
b.) If you read the newspaper every day, you will be informed, and conversely.
Writo the
Transcribed Image Text:4. Let p, q, and r be the statements p: Grizzly bears have been seen in the area. q: Hiking is safe on the trail. r: Berries are ripe along the trail. Write the following statements in symbolic form. a.) If berries are ripe along the trail, then hiking is safe if and only if 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.) Hiking is nof safe on the trail whenever grizzly bears have been seen in the area and berries are ripe along the trail. 5. Determine whether these biconditionals are true or false. a.) 1 + 1 = 3 if and only if monkeys can fly. b.) 0>1 if and only if 2 > 1. 6. Write each of the propositions in the form “p if and only if q": a.) For you to get a passing mark in this course, it is necessary and sufficient that you learn how to solve mathematics problems. b.) If you read the newspaper every day, you will be informed, and conversely. Writo the
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