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Question
Mark the correct alternative in the following question:
The relation S defined on the set R of all real number by the rule aSb if a b is _______________ .
Options
an equivalence relation
reflexive, transitive but not symmetric
symmetric, transitive but not reflexive
neither transitive nor reflexive but symmetric
Solution
We have,
S = {(a, b) : a b; a, b R}
Hence, The relation S defined on the set R of all real number by the rule aSb if a b is reflexive, transitive but not symmetric.
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