Is x=-/+y reflexive? (x, y) exists in R, on a set of all real numbers.
Sorry, don't know how to put in the positive or negative symbol.
I'm thinking it is, but I don't know how to express it in a proof.
Thanks!
I would assume yes, because it exists in a set of all real numbers. Only info given is:
Determine whether the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive, where $\displaystyle (x, y) \in \mathbb{R}$ if and only if $\displaystyle x=\pm\,y$.