Question
Question: Let A = {1, 2, 3, 4} and let R= {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then R is...
Let A = {1, 2, 3, 4} and let R= {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then R is
A
Reflexive
B
Symmetric
C
Transitive
D
None of these
Answer
Transitive
Explanation
Solution
Since (1, 1)∈/Rso, is not reflexive.
Now (1, 2) ∈/R, therefore R is not symmetric Clearly R is transitive.