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On the set R of real numbers, the relati...

On the set R of real numbers, the relation `rho` is defined by `x rhoy, (x,y) inR`

A

1) If `|xx - y|lt 2 ` then `rho` is reflexive but neither symmetric nor transitive

B

2) If `x-y lt 2` then `rho` is reflexive and symmetric but not transitive

C

3) If `|x | ge y` then `rho` is reflexive and transitive but not symmetric

D

4) If `x gt |y|` then `rho` is transitive but neither reflexive nor symmertric

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The correct Answer is:
D
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