1.2.Determine whether R = {(x, y) | x + y = 0} on the set of all real numbers isreflexive, symmetric, antisymmetric, and/or transitive. Explain your answer.Determine whether the relation represented by the directed graph below isreflexive, symmetric, antisymmetric, and/or transitive. Explain your answer.ab1 1 0IM1 0 1 00 1 1 11 0 1 1d

Since you have posted a multiple question according to guildlines I will solve first(Q1) question…

Answered: 1. Determine whether R = {(x, y) | x +…

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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1. Determine whether R = {(x, y) | x + y = 0} on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive. Explain your answer.