A transitive relation is which objects of a similar nature are the same. An example is if a and b are the same, and if b and c are the same; then a and c are the same.
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A=r mod z R= a relation which is reflexive symmetric but not transitive
transitive means for example, "if a=b and b=c, then a=c". reflexive means for example, "a=a, b=b, c=c, etc."
The answer will depend on whether or not the relationship between the pairs of variables is transitive. In mathematics, not all relationships are transitive.For example, if the relationship is "is coprime with", then2 is coprime with 3, 3 is coprime with 4 but 2 is certainly not coprime with 4.
A transitive property is one where, if a is related to b, and b to c, a is therefore related to c in some way. An example of this would be height. If a is bigger than b, and b is bigger than c, a must be bigger than c. Thus, height is a transitive property.
A mathematical property, ~, is said to be transitive over a set S if, for any three elements, x y and z x ~ y and y ~ z implies than x ~ z. For example, "is greater than (>)" is transitive, but "is not equal to" is not.