The relation "congruence modulo $m$" is
The relation "congruence modulo $m$" is
- A
Reflexive only
- B
Transitive only
- C
Symmetric only
- D
An equivalence relation
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Determine whether each of the following relations are reflexive, symmetric and transitive:
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Relation $\mathrm{R}$ in the set $\mathrm{Z}$ of all integers defined as $\mathrm{R} =\{(\mathrm{x}, \mathrm{y}): \mathrm{x}-\mathrm{y}$ is an integer $\}$