Practicing Success
The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is: |
Reflexive but not symmetric Reflexive but not transitive Symmetric and transitive Neither symmetric nor transitive |
Reflexive but not symmetric |
Since (1, 1), (2, 2), (3, 3) ∈ R therefore R is reflexive (1, 2) ∈ R but (2, 1) ∉ R, therefore R is not symmetric. It can be easily seen that R is transitive. |