Løsningerne

Løsningerne is a Danish term meaning "the solutions." Grammatically, it is the definite plural form of løsningen (solution) and is used to refer to all solutions to a problem, equation, or puzzle.

In mathematics and logic, Løsningerne denotes the set of all elements that satisfy a given constraint. The solution set to a linear equation consists of all values of the variable that make the equation true; for a system of equations, Løsningerne is the collection of all variable assignments that satisfy every equation. In optimization problems, Løsningerne refers to the optimal values or configurations that maximize or minimize the objective function.

In education and publishing, Løsningerne commonly labels a section or chapter that lists the solutions to exercises. Textbooks may present problems with Løsningerne as a separate section, sometimes including methods or steps, sometimes providing only final answers.

In cultural usage, the phrase has been employed as a title or thematic element in Danish media and literature, signaling themes related to finding answers, resolving conflicts, or achieving closure. As a linguistic form, Løsningerne remains a standard way to refer to multiple solutions in Danish.