17.3. Asymmetric Relations

Try these first

1. 1.

   Define an asymmetric relation in your own words.

   Hint

   Think about it like a one-way street.

2. 2.

   Provide an example of an asymmetric relation not mentioned in class.

   Hint

   Focus on relationships where direction matters.

3. 3.

   If (a, b) is in an asymmetric relation, can (b, a) also be in it?

   • True
   • False

   Hint

   Recall what asymmetric means.

4. 4.

   Which of the following is NOT an example of an asymmetric relation?

   • Parent-Child
   • Friends
   • Manager-Employee

   Hint

   Think about the directions in each relationship.

5. 5.

   Given relation R = {(1, 3), (2, 1), (3, 2)}, discuss whether R is asymmetric, providing justification.

   Hint

   Examine all possible pairs within the relation.

6. 6.

   Construct a larger asymmetric relation from set A = {1, 2, 3, 4} with five different ordered pairs and verify if it holds the properties of asymmetry.

   Hint

   Check each combination to ensure none violate the asymmetric rules.