Transitivity property not clear.

[lalapnt]

i am reading equivalence relation on wikipedia. and in this examply. i don't see the transitity property according to the definition of transitivity which is: For every three elements a, b, and c in X, if a ~ b and b ~ c, then a ~ c (transitivity).

any explanation please?

 

[Erland]

If you go through all possible combinations of a, b, and c for which a~b and b~c hold, you will find that a~c also holds in all these cases.