Thread: Numerical

I desperately need help with this numerical:
Consider the following relation R on A ={1,2,3,4,5,6,7}. The relatin holds for numbers x,y if x-y is a multiple of 3.
Check whether R is reflexive, symmetric, transitive and anti-symmetric.

I need to show the process as well.
Any help will be highly appreciated.
Thanks.

Originally Posted by dismath

I desperately need help with this numerical:
Consider the following relation R on A ={1,2,3,4,5,6,7}. The relatin holds for numbers x,y if x-y is a multiple of 3.
Check whether R is reflexive, symmetric, transitive and anti-symmetric.

Is always a multiple of 3?

If is a multiple of 3, then is a a multiple of 3?

If are a multiples of 3, then is a multiple of 3?

Originally Posted by Plato

Is always a multiple of 3?

If is a multiple of 3, then is a a multiple of 3?

If are a multiples of 3, then is a multiple of 3?

Surely, in the last line you meant

ok, where does z come in? The question doesn't have z. Nothing besides the question is given.

Originally Posted by dismath

ok, where does z come in? The question doesn't have z. Nothing besides the question is given.

What does the transitive property say? Do you know?