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The union of two sets, containing all elements that are in either set. Used in expressions like $A \cup B$ to denote a set containing all elements that are in set $A$, set $B$, or both.

The intersection of two sets, containing only the elements that are in both sets. Used in expressions like $A \cap B$ to denote a set containing all elements that both sets have in common.

The set difference, representing the elements that are in one set but not in the other. $A \setminus B$ includes all the elements that are in $A$ but not in $B$.

The membership symbol, indicating that an element belongs to a set. Used in expressions like $x \in A$ to state that element $x$ is a member of set $A$.

The subset symbol, indicating that all elements of the first set are also elements of the second set. $A \subset B$ means that every element of $A$ is also in $B$.

The superset symbol, indicating that the first set contains all elements of the second one. $A \supset B$ means that every element of $B$ is also in $A$.

The empty set symbol, representing a set that contains no elements. $\emptyset$ is the set with zero members.

The symbol for the set of real numbers, including all rational and irrational numbers.

The symbol for the set of natural numbers, which includes all positive integers starting from 1. Some definitions also include zero.