In a structure (E, *) where E is a set of numbers and * is an operation defined in that set of numbers, the number x’ is the symmetric of a number x such that \(v\), where n is the neutral element for the operation *.
- Term that characterizes two similar objects presented as mirror images of each other.
- The term can describe numbers, mathematical structures, geometric objects or graphs of relationships in a Cartesian plane.
Example
For the operation of addition defined on the set \(\mathbb{Z}\) of integers, the number 5 is the symmetric of the number -5.