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The following relations are defined on t...

The following relations are defined on the set of real numbers.
(i) `a R b iff |a - b| gt 0`
(ii) `a R b iff |a| = |b|`
(iii) `a R b iff |a| ge |b|`
(iv) `a R b iff 1 + ab gt 0`
(v) `a R b iff |a| le b`
Find whether these relations are reflexive, symmetric or transitive.

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