Let R be a relation on the set N of natural numbers defined by aRb if a divides b. Then R is:
Let R be a relation on the set N of natural numbers defined by aRb if a divides b. Then R is:
- A. Reflexive and symmetric
- B. Transitive and symmetric
- C. Equivalence relation
- D. Reflexive and transitive
Answer: D) Reflexive and transitive
Explanation: Every number divides itself, so R is reflexive. If a divides b and b divides c, then a divides c, so R is transitive. However, 2 divides 4 but 4 does not divide 2, so it is not symmetric.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.