Let S be the set {a,b,c,d} and the relation R on S is {(a,a),(a,b),(b,b),(c,c),(b,c),(a,c)}. then, which one is true? a. R is reflexive, transitive, antisymmetric, not symmetric. b. R is not reflective, not transitive, antisymmetric, not symmetric. c. R is not reflexive, not transitive, antisymmetric, not symmetric. d. R is reflexive, not transitive, antisymmetric, not symmetric.
Let S be the set {a,b,c,d} and the relation R on S is {(a,a),(a,b),(b,b),(c,c),(b,c),(a,c)}. then, which one is true? a. R is reflexive, transitive, antisymmetric, not symmetric. b. R is not reflective, not transitive, antisymmetric, not symmetric. c. R is not reflexive, not transitive, antisymmetric, not symmetric. d. R is reflexive, not transitive, antisymmetric, not symmetric.
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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Let S be the set {a,b,c,d} and the relation R on S is {(a,a),(a,b),(b,b),(c,c),(b,c),(a,c)}.
then, which one is true?
a. R is reflexive, transitive, antisymmetric, not symmetric.
b. R is not reflective, not transitive, antisymmetric, not symmetric.
c. R is not reflexive, not transitive, antisymmetric, not symmetric.
d. R is reflexive, not transitive, antisymmetric, not symmetric.
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