I'm not entirely sure what your question is, but I'll assume you just don't understand what transitive relations are. In my experience, all set theory notes just make it far too confusing, for what is a mindbogglingly simple relation. I spend ages looking through notes trying to understand the set theory notation, and in the end it only made sense when I read a basic description online.
For simplicities sake, we'll have set A = {X, Y, Z}.
A relationship on A is transitive if whenever X is related to Y, and Y is related to Z, X is also related to Z. You can think about it in terms of traveling between cities. If each element is a city, and there is a road between X & Y, and a road between Y & Z, then you must be able to drive from X to Z.
A transitive relationship holds if this is true for every configuration of X, Y, and Z. So if Z -> X, and X -> Y, then Z must also go to Y for the relationship to be transitive.
Hope that helps.
For simplicities sake, we'll have set A = {X, Y, Z}.
A relationship on A is transitive if whenever X is related to Y, and Y is related to Z, X is also related to Z. You can think about it in terms of traveling between cities. If each element is a city, and there is a road between X & Y, and a road between Y & Z, then you must be able to drive from X to Z.
A transitive relationship holds if this is true for every configuration of X, Y, and Z. So if Z -> X, and X -> Y, then Z must also go to Y for the relationship to be transitive.
Hope that helps.
