Chapter 9.1, Problem 7E

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

a) $x\ne y$.

b) $xy\ge 1$.

c) $x=y+1$or $x=y-1$.

d) $x\equiv y\left(\mathrm{mod}7\right)$.

e)xis a multiple ofy.

f)xandyare both negative or both nonnegative.

g) $x=y^2$.

h) $x\ge y^2$.