Let A = {a, 6, 7, 8}. Determine whether relation R₁ = {(α, a),(a,§), (α, ß), (8, α), (7, 7), (y, α)} is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, and/or transitive on ΑΧ Α. Check the box below if the property satisfies the relation. O Reflexive Irreflexive Symmetric Asymetric Antisymmetric Transitive The relation does not satisfy any of the given properties.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 16E: Does the relation is less than for a numbers have a reflexive property consider one number? A...
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Let A = {a, 6, 7, 8}.
Determine whether relation R₁ = {(a, a),(a, §),(a, ß), (8, α), (7, 7), (7, a)}
is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, and/or transitive on
AXA.
Check the box below if the property satisfies the relation.
Reflexive
Irreflexive
Symmetric
Asymetric
Antisymmetric
Transitive
The relation does not satisfy any of the given properties.
Transcribed Image Text:Let A = {a, 6, 7, 8}. Determine whether relation R₁ = {(a, a),(a, §),(a, ß), (8, α), (7, 7), (7, a)} is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, and/or transitive on AXA. Check the box below if the property satisfies the relation. Reflexive Irreflexive Symmetric Asymetric Antisymmetric Transitive The relation does not satisfy any of the given properties.
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