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A relation R(1) is defined on the set of...

A relation `R_(1)` is defined on the set of real numbers as follows:
(a,b)` in R_(1) hArr 1 + ab gt 0`, when a, b `in` R
(iii) `(a,b) in R_(1) and (b,c) in R_(1) rarr (a,c) in R_(1) ` is not true when a , b, c, `in R`

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