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Consider the relations R 1 , R 2 , R 3 , R 4 , R 5 on A = { 1 , 2 ,

Consider the relations R1
, R2
, R3
, R4
, R5
on A={1,2,3,4}
defined by
R1={(1,2),(2,1)}
R2={(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)}
R3={(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)}
R4={(1,2),(2,3),(3,4)}
R5={(1,1),(2,2),(3,3),(4,4)}
Determine which of the following statements are true. Select all that apply.
A. R3
is reflexive.
B. R2
is not symmetric.
C. R4
is symmetric.
D. R3
is not transitive.
E. R4
is transitive.
F. R1
is transitive.
G. R5
is transitive.
H. R1
is symmetric.
I. R1
is reflexive.
J. R2
is reflexive.
K. R5
is not reflexive.
L. None of the above

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