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Determine whether the relation R in the ...

Determine whether the relation R in the set `A = {1,2,3,…..13,14}` defined as `R = {(x, y):3x -y=0}` is reflexive symmetric and transitive.

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The correct Answer is:
(i) Neither reflexive nor symmetric nor transitive.
(ii) Neither reflexive nor symmetric but transitive.
(iii) Reflexive and transitive but not symmetric.
(iv) Reflexive, symmetric and transitive.
(v) (a) Reflexive, symmetric and transitive.
(b) Reflexive, symmetric and transitive.
(c ) Neither reflexive nor symmetric nor transitive.
(d) Neither reflexive nor symmetric but transitive.
(e) Neither reflexive nor symmetric nor transitive.
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