"The [real numbers a in R+ (previously referred to as 'R plus')] will of course be called positive, those such that -a [is in R+ will be called] negative. From the [order property] we shall deduce all the usual rules for working with inequalities." (see ita-1-2-2-pg19)
"To be able to express the consequences of [the order property] most conveniently we introduce the relations > and < . For a, b [in R] either of the expressions a>b or b<a (read respectively as 'a is greater than b' and 'b is less than a') will mean that a-b [is in R+]. Either of the expressions or will mean that a>b or a=b." (see ita-2-2-3-pg19)
Note that the greater and less than symbols point toward the smaller number. We may use this as a reminder by thinking that the width of the symbol indicates the size of the number: The wide end is at the larger number. Also: Expressions which have real numbers separated by the greater than, less than, or equality symbols can be referred to as relations.