- #1

kevinsweeney

- 9

- 0

Note that forum guidelines require the homework template is filled out

Suppose that

R1={(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)},

R2={(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)},

R3={(2,4),(4,2)} ,

R4={(1,2),(2,3),(3,4)},

R5={(1,1),(2,2),(3,3),(4,4)},

R6={(1,3),(1,4),(2,3),(2,4),(3,1),(3,4)},

Determine which of these statements are correct.

Check ALL correct answers below.

R1={(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)},

R2={(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)},

R3={(2,4),(4,2)} ,

R4={(1,2),(2,3),(3,4)},

R5={(1,1),(2,2),(3,3),(4,4)},

R6={(1,3),(1,4),(2,3),(2,4),(3,1),(3,4)},

Determine which of these statements are correct.

Check ALL correct answers below.

**A.**R3 is symmetric**B.**R5 is transitive**C.**R6 is symmetric**D.**R2 is reflexive**E.**R1 is not symmetric**F.**R4 is symmetric**G.**R4 is transitive**H.**R4 is antisymmetric**I.**R3 is reflexive**J.**R1 is reflexive**K.**R3 is transitive**L.**R5 is not reflexive**M.**R2 is not transitive**A. R3 is symmetric as (x,y) implies (y,x). So (4,2),(2,4)**

B. R5 is transitive as there is no (x,y) (y,z)

C. R6 isn't symmetric as there is (1,4) but no (4,1)

D. R2 ia reflexive as (1,1),(2,2),(3,3),(4,4) are elements

E. R1 isn't symmetric as (4,4) isn't an element

F. R4 isn't symmetric as there is no (2,1) for (1,2)

G.B. R5 is transitive as there is no (x,y) (y,z)

C. R6 isn't symmetric as there is (1,4) but no (4,1)

D. R2 ia reflexive as (1,1),(2,2),(3,3),(4,4) are elements

E. R1 isn't symmetric as (4,4) isn't an element

F. R4 isn't symmetric as there is no (2,1) for (1,2)

G.

**R4 is transitive as there is no (x,y) (y,z) relation**

H. R4 isn't antisymmetric as its not symmetric

I. R3 isn't reflexive as there is no (2,2) for (2,4)

J. R1 is reflexive as there is as all (x,x) are satisfied

K. R3 isn't transitve as there is no (2,2) for (2,4),(4,2)

L. R5 is reflexive as all (x,x) satisfied

M. R2 is transitive as (1,1) for (1,2),(2,1)

Hi, I got a mark of 0% for this answer, and have no idea where I am going wrong. Can anybody help? Thanks KevinH. R4 isn't antisymmetric as its not symmetric

I. R3 isn't reflexive as there is no (2,2) for (2,4)

J. R1 is reflexive as there is as all (x,x) are satisfied

K. R3 isn't transitve as there is no (2,2) for (2,4),(4,2)

L. R5 is reflexive as all (x,x) satisfied

M. R2 is transitive as (1,1) for (1,2),(2,1)

Hi, I got a mark of 0% for this answer, and have no idea where I am going wrong. Can anybody help? Thanks Kevin