Determine Whether the Binary Relation Is:
(1) Reflexive, (2) Symmetric $$\text { The relation } R \text { on } \mathcal { R } \text { where } a R b \text { means } a - b \in \mathcal { Z } \text {. }$$

Short Answer

determine whether the binary relation is:
(1) reflexive, (2) symmetric, (3) antisymmetric, (4) transitive.
- $$\text { The relation } R \text { on } \mathcal { R } \text { where } a R b \text { means } a - b \in \mathcal { Z } \text {. }$$