Chapter 9.1, Problem 6E

ermine whether the relationRon the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive, where $\left(x,y\right)\in R$if and only if

a) $x+y=0$

b) $x=\pm y$

c) $x-y$is a rational number.

d) $x=2y$.

e) $xy\ge 0$.

f) $xy=0$

g) $x=1$.

h) $x=1$or $y=1$.