Understanding Binary Relations

What is a binary relation in the context of sets A and B?

• A set containing only elements from A

• A set of all possible elements from A and B

• A set of ordered pairs representing relationships between elements of A and B

• A set containing only elements from B

How does the Cartesian product differ from a binary relation?

• It includes every possible ordered pair from two sets

• It contains no ordered pairs

• It is always empty

• It contains only one ordered pair

What is a binary relation 'on' a set?

• A relation involving two different sets

• A relation involving elements from the same set

• A relation with no elements

• A relation with only one element

In the context of the xy plane, what does a point represent?

• A single number

• A set of unrelated numbers

• An ordered pair of real numbers

• A binary relation with no elements

What will be introduced in the next lecture regarding binary relations?

• The concept of empty sets

• The concept of Cartesian product

• The concept of domain and range

• The concept of ordered pairs