Sets Relations And Functions Question 44
Question: Let R={ $ ( 1,3 ),( 4,2 ),( 2,4 ),( 2,3 ),( 3,1 ) $ } be a relation on the set A={ $ 1,2,3,4 $ }. The relation R is
Options:
A) a function
B) reflexive
C) not symmetric
D) transitive
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] Let R={(1, 2),(4, 2),(2, 3),(3, 1)} be a relation on the set A = {1, 2, 3, 4}.
Since (2, 4) $ \in $
R and (3, 2) $ \in $ R, R is not a function. Since (1, 3) $ \in $ R and (3, 1) $ \in $ R, but (1, 1) $ \notin $ R, R is not transitive. Since (2, 3) $ \in R $ but (3, 2) $ \notin R $ , R is not symmetric. Since (4, 4) $ \notin R $ , R is not reflexive.
BETA
