A bounded set is a collection of elements that is limited in size or extent. In mathematics, a set is considered bounded if there are specific boundaries that define its limits. For example, in a number line, the set of numbers between 1 and 5 is bounded because it has clear lower and upper limits. In everyday terms, think of a bounded set like a box containing toys. The toys inside the box represent the elements of the set, while the box itself defines the boundaries. Any toy outside the box is not part of the set, illustrating how bounded sets restrict inclusion to only those elements within the defined limits.