A) reflexive and symmetric but not transitive
B) reflexive and transitive but not symmetric
C) symmetric and transitive but not reflexive
D) reflexive, transitive and symmetric
E) none of the above is true
Correct Answer: A
Solution :
\[R=\{(a,b):1+ab>0\}\] It is clear that the given relation on S is reflexive, symmetric but not transitive.
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