1
$\begingroup$

$$A=\{(0,0),(0,1),(1,0),(1,1),(0,2),(2,0),(2,2)\}$$

Hi guys can somebody tell me why this relation is not transitive? I know that is reflexive and symmetric and also thought that is transitive but my Math-Script say no!

Thanks in advance:)

1 Answers 1

10

Hint: $(1,0)$ and $(0,2)$ are in the relation.

  • 0
    So what does it mean ?2012-12-15
  • 2
    @Tiro: If $(1,0)$ and $(0,2)$ are in $A$, and $A$ is transitive, what ordered pair has to belong to $A$?2012-12-15
  • 0
    @amWhy: Neat! :-D2012-12-15
  • 0
    If this isn't a homework question, I think the full answer should be put up there?2012-12-15
  • 0
    @Joe: There is a pedagogical value for hints, even if the question is not a homework assignment.2012-12-15