Thread: [SOLVED] Transitive relation help please?

Give a transitive relation R on {1,2,3,4} such that R^2={} ( {}=empty set). (R^2 refers to the composition RoR)

How do I go about finding this relation? I tried, but ended up with the full set of all relations on the set I don't know what to do.

Any input would be greatly appreciated.

Thanks in advance.

Originally Posted by chocaholic

Give a transitive relation R on {1,2,3,4} such that R^2={} ( {}=empty set). (R^2 refers to the composition RoR)

How do I go about finding this relation? I tried, but ended up with the full set of all relations on the set I don't know what to do.

Any input would be greatly appreciated.

Thanks in advance.

What about ? It is clearly transitive, and the only relation it gives you is . Its composition will give you no relations.