ABSTRACT
When proving inequalities, it might serve well to be reminded of transitivity. For example, if a = b ≤ c ≤ d = e, then a ≤ e. Furthermore, if a = b < c = d ≤ e = f , then both a < f and a ≤ f are true. Also when proving inequalities, the reader is reminded that many inequalities often fail for some or all integers less than some threshold value.
