sentence: Equations are equal.
sentences_before: Equivalence in a more general sense is provided by the construction of an equivalence relation between two sets, that is, the two sets have exactly the same elements. The sets do not need to be finite to be equal. A statement that two expressions denote equal quantities is an equation.
sentences_after: Inequalities are unequal.
concept_name: equation
headings: Equality (mathematics)
categories: Mathematics Geometry