Given the following relations on the set of all integers where (x, y)∈R(x, y)∈R if and only if the following is satisfied. (Check ALL correct answers from the following lists ):

(a) x+y=0

A. symmetric
B. reflexive
C. irreflexive
D. transitive
E. antisymmetric

(b) x−y is an integer

A. irreflexive
B. transitive
C. reflexive
D. symmetric
E. antisymmetric

(c) x=2y

A. antisymmetric
B. reflexive
C. irreflexive
D. symmetric
E. transitive

(d) xy≥1

A. transitive
B. symmetric
C. reflexive
D. irreflexive
E. antisymmetric