For the following question,
Determine whether the relation R on the set of all Webpages is reflexive, symmetric, antisymmetric, and/or transitive, where (a, b) ∈ R if and only if
d)there is a Web page that includes links to both Webpage a and Web page b.
My initial thought was that R would be Reflexive since any page a belonging to R would also link to a, but apparently it is not Reflexive because there may be a page in R that has no links. I'm not sure how that makes sense since for a page to belong to R it must link to a page a and b, so how can there be a page on R that has no links?
a) It is not neccesarly reflexive since there is no need that every $a$ is linked to some Webpage.
b) It is definitively symmetric.
c) It is not neccesarly transitive. $a, b$ could be connected to some Web X and $b,c $ ar connected to some Web Y. But this says nothing about if $a,c$ are connected to some Web Z.