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

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

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 universal quantification symbol, signifying 'for all' or 'for every'. Used in statements like $\forall x \in A, P(x)$ to mean that predicate $P$ holds true for every element $x$ in set $A$.

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