Question

x-y is a rational number
Is this reflexive, symmetric, transitive, or anti symmetric

Answer 1

None of the above

Answer 2

Sorry but my professor has a different answer than you.. im just trying to figure out how it's transitive and how its symmetric

Answer 3

You need to give more information then.

Answer 4

Are x and y rational numbers?

Answer 5

oh sorry they are all real numbers

Answer 6

So could you please post the entire problem exactly as it is written?

Answer 7

Determine whether the relation R on the set of all real numbers is reflexive, anti-symmetric and/or transitive, where x -y is a rational number

Answer 8

And what is the relation R?

Answer 9

the set of all real numbers

Answer 10

I don't think that can be right because a relation is a set of ordered pairs. So it can be the set of real numbers.

Answer 11

Yeah and y and x are in that relation and the values are elements of the set of all real numbers

Answer 12

So, I guess the relation is x-y. So a rational number is equal to itself, so yes, it is reflexive. If x-y=b then b =x-y so it is symmetric. If x-y=a and b = c then x-y=c so it is also transitive.

Answer 13

it couldnt be reflexive if x - y = to rational number because for it to be reflexive (a,a) and 1 -1 is not a = a.. as for being symmetric (a,b) is in the element R and (b,a) is in the element R however i dont get how its transitive

Answer 14

I guess I don't understand the interpretation then. If x-y is a rational number, a rational number is certainly equal to itself.

Answer 15

yes but if the rational number is x - y
if x is 1 and y is 1... then how is negative one equal to 1 ?

Answer 16

It isn't but if x is 1 and y is 1 then x-y = 0 and 0 is certainly equal to 0.

But as I said, I must be mis-intrepreting the problem.

Answer 17

@Sceptre12 Perhaps the information here will help.

http://tinyurl.com/b6sxsl9

Answer 18

Thank you this definition helps alot