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Thank you Ricky, that makes so much more sense now.
If the set the relation was on was all integers how would I go about writing that as a relation?
So in order for them not to be transitive, they have to be at least related? I almost feel like you misread the question, or I'm really not getting this at all.
For it to be reflexive and transitive(which is not the question though): {(a,a), (b,b), (c,c), (x,x),(y,y),(z,z), (a,z),(z,a)}
For it to be transitive and non-reflexive: {(a,a), (b,b), (c,c), (x,x),(y,y),(a,z),(z,a)}
That makes sense to me I believe.
Would that be right now?
Thanks Ricky.
So from what Ricky said the answer to (a), would be {(a,a), (b,b), (c,c), (x,x),(y,y),(z,z)}
For (b), for the relation to be transitive is it something like {(a,b), (b,c), (a,c),(b,a),(b,a),(c,a)(c,b).....(z,a),(z,b),(z,c)}
Is their a shorter answer, do I need to use every element from the set A in the relation example? I'm horribly confused.
I'm not really getting this very well, I don't fully understand what constitutes the relation. I only have one example of each
type of the relations and our class isn't really on this. The book for the course doesn't cover this at all so I just have some small notes of the prof's. (I'm actually missing a prerequisite for the course)
I also have basically the same with a different set.
Let A = Z Give an example of a relation R on A which is:
(a) reflexive and not transitive,
(b) transitive and not reflexive,
(c) transitive and not symmetric,
(d) antisymmetric, transitive, but not reflexive,
(e) an equivalence relation,
(f) an order relation.
(g) a function.
For answers for this, I don't really know what to do?
I feel like I'm missing a lot on this, does anyone know of a good web resource on set relations?
Hello.
I have the question:
Let A = {a, b, c, x, y, z} Give an example of a relation R on A which is:
(a) reflexive and not transitive,
(b) transitive and not reflexive,
(c) transitive and not symmetric,
(d) antisymmetric, transitive, but not reflexive,
(e) an equivalence relation,
(f) an order relation.
(g) a function.
In my professors notes he never does any examples that have so many elements in the set, and therefore uses them all in every example problem.
Do I have to use every element in the set A for the relation R?
Or can I just say that the answer to (a) would be something like {(a,a), (a,b), (b,b)}
Also, I don't really understand how to do the function question, any explanation would be quite helpful.
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