discrete math relations simple problem help !!!!
Let A = {(x, y) | x, y integers}. Define a relation R on A by the rule (a, b) R (c, d) ↔ a = c or b = d. Determine whether R is transitive.
I know that it's not transitive but how to prove that is my problem.
shall I prove it with an example with numbers or with letters???!!!
Re: discrete math relations simple problem help !!!!
Quote:
Originally Posted by
ujnikm
Let A = {(x, y) | x, y integers}. Define a relation R on A by the rule (a, b) R (c, d) ↔ a = c or b = d. Determine whether R is transitive.
I know that it's not transitive but how to prove that is my problem.
shall I prove it with an example with numbers or with letters???!!!
You give a counterexample. But it must be done with integers.
BUT ?
Re: discrete math relations simple problem help !!!!
Quote:
Originally Posted by
Plato
You give a counterexample. But it must be done with integers.
R(1,2)~\&~(1,2)R(4,2))
BUT ?
can u illustrate more ??? please
Re: discrete math relations simple problem help !!!!
Quote:
Originally Posted by
ujnikm
can u illustrate more ??? please
What do you mean. It is clear.
BUT NOT R(4,2))