First slide

Relations XII

Question

$The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is$

Moderate

A

Reflexive but not symmetric
B

Reflexive but not transitive
C

Symmetric and transitive
D

Neither symmetric nor transitive

Solution

$As (1, 1); (2, 2); (3, 3) \in R, R is reflexive$
$As (1, 2) \in R but (2, 1) \notin R, R is not symmetric$
It can be easily seen that R is transitive

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