The union of sets $A$ and $B$ is a set consisting of all elements $x$ such that $x \in A$ or $x \in B$.
Notation: $A \cup B$.
The intersection of sets $A$ and $B$ is a set consisting of all elements $x$ such that $x \in A$ and $x \in B$.
Notation: $A \cap B$.
The difference of sets $A$ and $B$ is a set consisting of all elements $x$ such that $x \in A$ and $x \notin B$.
Notation: $A \setminus B$.