mutually exclusive

(adjective)

Describing multiple events or states of being, such that the occurrence of any one implies the non-occurrence of all the others.

Related Terms

Examples of mutually exclusive in the following topics:

  • Solving Systems of Linear Inequalities

    • If there is no intersection, then the two inequalities are either mutually exclusive, or one of the inequalities is a subset of the other.
    • For a simple example, $x>2$ and $x<1$ are mutually exclusive, whereas $x>2$ and $x>1$ has $x>2$ as a subset of $x>1$.
    • If they are mutually exclusive, then there is no solution.
    • Since these two equations are not mutually exclusive, these two equations are satisfied for any $x \geq -\frac{1}{3}$.