MATH.20:6 - Bias-Annotation
A single numerical answer can hide which object or property was bounded. The examples make that choice visible: path length, error in a vector, and an enclosed set with an objective on it.
Simple bounds can look weak beside a precise calculation, yet already settle the receiving question. A small displayed residual can produce the opposite bias. Judge the comparison by its proved relation to the needed result, keeping its cost in view.