Let R be a relation over set A. Let A = {1,2, 3, 4, 5, 6} and let R = {(a, b) e A² : |a – b| > 3} a) Prove that R is anti-reflexive b) Draw the graph G(V, E) where the vertices V = A and the edges E = R

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 30E
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3 Relations and Graphs
Let R be a relation over set A. Let A = {1,2, 3, 4, 5, 6} and let R = {(a, b) e A² : |a – b| > 3}
a) Prove that R is anti-reflexive
b) Draw the graph G(V, E) where the vertices V = A and the edges E = R
Transcribed Image Text:3 Relations and Graphs Let R be a relation over set A. Let A = {1,2, 3, 4, 5, 6} and let R = {(a, b) e A² : |a – b| > 3} a) Prove that R is anti-reflexive b) Draw the graph G(V, E) where the vertices V = A and the edges E = R
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