Chapter 9.1, Problem 38E

rcises 34-38 deal with these relations on the set of real numbers:

$R_1=\left\{\left(a,b\right)\in {\text{R}}^2|a>b\right\}$,the greater than relation, $R_2=\left\{\left(a,b\right)\in {\text{R}}^2|a\ge b\right\}$,the greater than or equal to relation,

$R_3=\left\{\left(a,b\right)\in {\text{R}}^2|a<b\right\}$,the less than relation, $R_4=\left\{\left(a,b\right)\in {\text{R}}^2|a\le b\right\}$,the less than or equal to relation,

$R_5=\left\{\left(a,b\right)\in {\text{R}}^2|a=b\right\}$,the equal to relation, $R_6=\left\{\left(a,b\right)\in {\text{R}}^2|a\ne b\right\}$,the unequal to relation.

38. Find the relations $R_i{}^2$for $i=1,2,3,4,5,6$.