Solution for Section 10.5 Question 2

2.  a) The relation is not reflexive since no person is taller than himself / herself.
The relation is antisymmetric since if person a is taller than person b, then person b cannot be taller than person a.
The relation is transitive since if person a is taller than person b and person b is taller than person c, then person a is taller than person c. 

b) The relation is reflexive since every person was born on the same day as himself / herself.
The relation is not antisymmetric since if person a was born on the same day as person b, then person b must have also been born on the same day as person a.
The relation is transitive since if person a was born on the same day as person b and person b was born on the same day as person c, then person a was born on the same day as person c.

Back to Section 10.5