PROBLEM 4 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) The domain of the relation L is the set of all real numbers. For r, y € R, «Ly if z < y. (b) The domain of the relation A is the set of all real mumbers, xAy if |r-y| S 2 (c) The domain of the relation Z is the set of all real numbers. #Zy if y = 2x

PROBLEM 4 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) The domain of the relation L is the set of all real numbers. For r, y € R, «Ly if z < y. (b) The domain of the relation A is the set of all real mumbers, xAy if |r-y| S 2 (c) The domain of the relation Z is the set of all real numbers. #Zy if y = 2x

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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PROBLEM 4
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) The domain of the relation L is the set of all real numbers. For r, y €
R, ILy if z < y.
(b) The domain of the relation A is the set of all real numbers. xAy if |r-y| S 2
(c) The domain of the relation Z is the set of all real numbers. xZy if y = 2x

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