For each of the following relations, determine if they are reflexive,symmetric, antisymmetric, and/or transitive. Also indicate if the relation is an equivalence relationor not. a. {(x, y) | x=Ly]}on the set of real numbersb. {(m, n) | m² = n² }on the set of integersc. {(a, b) | classroom a has a larger capacity than classroom b}d. {(1, 1), (2, 2), (1, 2), (2, 3), (3, 2), (3, 3)}on the set of classroomson the set {1, 2, 3}

R = x,y|x=y R = x,y|y, y, y∈ℝ ------------------------Reflexive: a,a exist , for every a∈R.y =…

Answered: For each of the following relations,…

For each of the following relations, determine if they are reflexive, symmetric, antisymmetric, and/or transitive. Also indicate if the relation is an equivalence relation or not.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

For each of the following relations, determine if they are reflexive,
symmetric, antisymmetric, and/or transitive. Also indicate if the relation is an equivalence relation
or not.

a. {(x, y) | x=Ly]}
on the set of real numbers
b. {(m, n) | m² = n² }
on the set of integers
c. {(a, b) | classroom a has a larger capacity than classroom b}
d. {(1, 1), (2, 2), (1, 2), (2, 3), (3, 2), (3, 3)}
on the set of classrooms
on the set {1, 2, 3}

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