Sets help interpreting question

  • Thread starter DorumonSg
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  • #1
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I have this question but I don't get it at all. Here goes:

Let X be {x, y, z}
P(X) is the power set.
For all Y,Z is an element of P(X), Y R Z where The number of elements in Y intersect Z is 1.

So I worked out P(X) to be:

{(null), (x), (y), (z), (x,y), (x,z), (y,z)}

Then I don't get the next line, how can the number of elements of Y intersect Z be 1 if all members of Y and Z are elements of P(X)? Isn't Y = Z?
 

Answers and Replies

  • #2
tiny-tim
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Hi DorumonSg! :smile:

(you missed out (x,y,z) :wink:)

For example, (x,y) R (x,z) and (x,y) R (x) but not (x,y) R (z) and not (x,y) R (x,y,z). :smile:
 
  • #3
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So Y R Z is supposed to be:

{((x),(x,y)), ((x),(x,z)), ((x),(x,y,z)), ((y),(x,y)), ((y),(y,z)), ((y),(x,y,z)), ((z),(x,z)), ((z),(y,z)), ((z),(x,y,z)), ((x,y),(x,z)), ((x,y),(y,z)), ((x,z),(y,z))}

You mean like that?
 
  • #4
tiny-tim
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Yup! :biggrin:
 
  • #5
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Thanks alot.

Am I also right to say that Y R Z is not Reflective, Symmetric, Anti-Symmetric, Transitive, Partial Order and Total Order?
 
  • #6
tiny-tim
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Am I also right to say that Y R Z is not Reflective, Symmetric, Anti-Symmetric, Transitive, Partial Order and Total Order?
No..
 
  • #7
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Eh? But I don't see any relations between them.
 

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