Section 1.1 & 1.2: Types of Relations
Completion requirements
Exercise 15
Let \(R\) be the relation in the set
\(\{1, 2, 3, 4\}\) given by
\[R = \{(1, 2), (2, 2), (1, 1), (4, 4), (1,
3), (3, 3), (3, 2)\}\]
Choose the correct answer:
- \(R\) is reflexive and symmetric
but not transitive.
- \(R\) is reflexive and transitive
but not symmetric.
- \(R\) is symmetric and transitive
but not reflexive.
- \(R\) is an equivalence relation.