Think about the not equal 6= relationship on the integers.
(a) Prove 6= is not transitive
(b) Prove 1 6 = 2.
Based on your experience in problem 1, you might suspect that R2 is reflexive if a relation R to S is symmetric.
You can prove or disprove it.
If we have a set of integers, it is possible to express non-equality among the integers.
The order of the integers is increasing, so… clearly proves that it is not transitive since
If the set has symmetry, the relation on to R will be.
R is symmetrical but is not part the relation so it is not reflexive
(2012, may 7).
(2017, July 19).