An investigation into the Collatz conjecture sequence a0, a1,a2, ... ax, where a0 is an element of the set P, and P is a family of subsets that belong to the partition of the set {1,3,5,7,...}. The investigation finds that there exist a family of subsets T that belong to P where the Collatz Conjecture sequence a0, a1,a2, ... ax, satisfies the inequality a0 > ax.