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In the definition of a relation, capital letters A and B denote the sets themselves, while lowercase letters a and b denote individual elements belonging to those sets. The ordered pair (a, b) represents a specific element of the Cartesian product $A \times B$, where a is an element of A and b is an element of B.

Conditions: The context is the formal definition of a relation R between sets A and B.; The notation (a, b) ∈ $A \times B$ is used.

In the definition of a relation, capital letters A and B denote the sets themselves, while lowercase letters a and b denote individual elements belonging to those sets. The ordered pair (a, b) represents a specific element of the Cartesian product $A \times B$, where a is an element of A and b is an element of B.

Conditions: The context is the formal definition of a relation R between sets A and B.; The notation (a, b) ∈ $A \times B$ is used.

A relation R between two sets A and B is formally defined as a subset of the Cartesian product $A \times B$. This means that R is a collection of ordered pairs, where the first element of each pair belongs to set A and the second element belongs to set B.

Conditions: A and B are sets.; R is a binary relation between A and B.

A relation R between two sets A and B is formally defined as a subset of the Cartesian product $A \times B$. This means that R is a collection of ordered pairs, where the first element of each pair belongs to set A and the second element belongs to set B.

Conditions: A and B are sets.; R is a binary relation between A and B.