The number of watermelons in a truck are all weighed on a scale. The scale rounds the weight of every watermelon to the nearest pound. The number of pounds read off the scale for each watermelon is called its measured weight. The domain for each of the following relations below is the set of watermelons on the truck. For each relation, indicate whether the relation is: Reflexive, anti-reflexive, or neither Symmetric, anti-symmetric, or neither Transitive or not transitive Justify your answer. (a) Watermelon z is related to watermelon y if the measured weight of water- melon a is at least the measured weight of watermelon y. No two water- melons have the same measured weight. (b) Watermelon zr is related to watermelon y if the measured weight of water- melon r is at least the measured weight of watermelon y. All watermelons have exactly the same measured weight.

The number of watermelons in a truck are all weighed on a scale. The scale rounds the weight of every watermelon to the nearest pound. The number of pounds read off the scale for each watermelon is called its measured weight. The domain for each of the following relations below is the set of watermelons on the truck. For each relation, indicate whether the relation is: Reflexive, anti-reflexive, or neither Symmetric, anti-symmetric, or neither Transitive or not transitive Justify your answer. (a) Watermelon z is related to watermelon y if the measured weight of water- melon a is at least the measured weight of watermelon y. No two water- melons have the same measured weight. (b) Watermelon zr is related to watermelon y if the measured weight of water- melon r is at least the measured weight of watermelon y. All watermelons have exactly the same measured weight.

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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Question

The number of watermelons in a truck are all weighed on a scale. The scale
rounds the weight of every watermelon to the nearest pound. The number of
pounds read off the scale for each watermelon is called its measured weight. The
domain for each of the following relations below is the set of watermelons on the
truck. For each relation, indicate whether the relation is:
Reflexive, anti-reflexive, or neither
Symmetric, anti-symmetric, or neither
Transitive or not transitive
Justify your answer.
(a) Watermelon z is related to watermelon y if the measured weight of water-
melon a is at least the measured weight of watermelon y. No two water-
melons have the same measured weight.
(b) Watermelon zr is related to watermelon y if the measured weight of water-
melon r is at least the measured weight of watermelon y. All watermelons
have exactly the same measured weight.

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