16.3. Types of Relations

Try these first

1. 1.

   What is a relation in mathematics?

   Hint

   Think about how two sets can interact.

2. 2.

   Define a binary relation.

   Hint

   Recall what Cartesian product means.

3. 3.

   What defines a binary relation?

   • A collection of the same element
   • A relation that includes two sets
   • Any random numbers

   Hint

   Remember the context of A and B.

4. 4.

   True or False: A relation can be empty.

   • True
   • False

   Hint

   Consider what a subset can be.

5. 5.

   Create a binary relation with sets A = {1, 2, 3} and B = {a, b, c}. Explain its properties.

   Hint

   Think about the possible pairs.

6. 6.

   Given a relation R defined on A = {1, 2, 3} as R = {(1, 1), (2, 2), (2, 3)}, determine if it is reflexive.

   Hint

   Check all elements for self-pairing.