Question

Show that the relation `"geq"` on the set `R` of all real numbers is reflexive and transitive but not symmetric.

Answer 1

(i) for all ` a in R, a lea` is always true , so ,Rreflexive
(ii) for all `a,b,c in R,` we have `( a le b,B le c)implies ( ale c).`
` therefore ` R is transitive .
(iii) But R is not symmetric ,as `3le 4` is true while `4 le3` is not true .