F is the congruence modulo 6 relation on Z for all m n Z m F

F is the congruence modulo 6 relation on Z: for all m, n Z, m F n 6 (m - n). Is the relation reflexive?______________ Is the relation symmetric?______________ Is the relation transitive?______________ Is this an equivalence relation?________________

Solution

Yes it is reflexive, yes it is symmetric,yes it is transitive ,yes it is equivalence