$\cup$ on the subsets of a set $X$

Example · High school

Terms

Term	This example	Why
binary operation	✓	$\cup$ is a binary operation on the subsets of $X$ because the union of two subsets of $X$ is a subset of $X$.
relation	✗	$\cup$ is not a relation, because “$A \cup B$” is not true or false.

Distinctions using this example

• Operation vs. relation

All examples · All distinctions · All definitions