DefinitionIn mathematics, inequalities are the poetry of the common language, used to describe the relationship between two values that are shown to be unequal. They utilise symbols such as <,≤, >, and ≥ to evaluate quantities Inequalities play a fundamental role in algebra and in calculus and, hence, in mathematical optimization where they are frequently used to define ranges (constraints), which are levels of admissible solutions, and hemps where they are used to define the part of a subset in the n-dimensional space. For Example: 2x + 3 ≤ 7, which is an inequality to describe an interval of x values that work, the solution of the inequality yields x ≤ 2.