Define a relation R, on the set A = (0, 1, 2, 3) as follows. R, = {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3) (a) Which of the following is the directed graph of R,? (b) Is R, reflexive, symmetric, transitive, or none of these? (Select all that apply.) OR, is reflexive. OR, is symmetric. OR, is transitive. OR, is neither reflexive, symmetric, nor transitive.

Define a relation R, on the set A = (0, 1, 2, 3) as follows. R, = {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3) (a) Which of the following is the directed graph of R,? (b) Is R, reflexive, symmetric, transitive, or none of these? (Select all that apply.) OR, is reflexive. OR, is symmetric. OR, is transitive. OR, is neither reflexive, symmetric, nor transitive.

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 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...

See similar textbooks

Similar questions

Does the relation is a brother of have a reflexive property consider one male? A symmetric property consider two males? A transitive property consider three males?
= {(1,2), (2,1), (1,1), (2,2), (3,3), (4,1)} Draw the directed graph of the relation R X= {1,2,3,4}.
Identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b), (c, d), (d, a), (d, b)}.
Draw a directed graph (digraph) for the relation on {1,2,3,4} {(1,1), (1,4), (2,2), (3,3), (4,1)
Find the smallest relation containing the relation {(1, 2), (2, 3), (2, 4), (3, 1)} on theset {1, 2, 3, 4} that is reflexive, symmetric and transitive.
Draw the directed graphs of the relation.
(b) Let A = {1,2,3}. Consider the relation R on A given by R = {(1,2), (1,3), (2,1), (2,3), (3,2)} Draw the directed graph representing R. Is R transitive? Justify your answer.
Find the transitive closure of the relation R={(1,2),(2,2), (2,3),(3,3)} on the set A={1,2,3}. Select one: O a. ={(2,2),(3,1),(2.2).(2,3).(3,3)}. O b. ={(1,1),(3,1),(2.2),(2,3),(3,3)}. O c. =((1,3),(3,1).(2,2), (2,3),(3,3)}. O d. ={(1,2),(1,3).(2,2),(2,3),(3,3)}. O e. ={(1,2),(3,1),(2,2),(2,3),(3,3)}.
The relation R=((a,a),(b,b)) on set X=(a,b) is. transitive symmetric reflexive anti-symmetric None from the choices. The relation R=((1,2),(2,3), (1,3)) on set A={1,2,3) is. anti-symmetric transitive symmetric reflexive None from the choices Graphs that may include loops, and possibly multiple edges connecting the same pair of vertices or a vertex to itself. multigraph loops directed undirected * pseudographs
Define a relation R₂ on the set A = {0, 1, 2, 3) as follows. R₂ = {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3)} (a) Which of the following is the directed graph of R₂? DO (b) Is R₂ reflexive, symmetric, transitive, or none of these? (Select all that apply.) R₂ is reflexive. R₂ is symmetric. R₂ is transitive. OR₂ is neither reflexive, symmetric, nor transitive. x
Define a relation R- on the set A = {0, 1, 2, 3} as follows. R5 = {(0, 0), (0, 1), (0, 2), (1, 2)} (a) Which of the following is the directed graph of R,? (b) Is R, reflexive, symmetric, transitive, or none of these? (Select all that apply.) O R, is reflexive. O Rg is symmetric. R5 is transitive. 10 O R, is neither reflexive, symmetric, nor transitive.
5. Let R be the relation on the set {1, 2, 3, 4, 5} containing the ordered pairs (1, 1), (1, 2), (1, 3), (2, 3), (2, 4), (3, 1), (3, 4), (3, 5), (4, 2), (4, 5), (5, 1), (5,2), and (5, 4). Find, a) R² b) R³ c) R4 d) R5