For real numbers \( x \) and \( y \), \( xRy \iff x - y + \sqrt{2} \) is an irrational number. Then the relation \( R \) is:
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A relation is reflexive if \( xRx \) holds for every element \( x \) in the set. For the given relation, \( x - x + \sqrt{2} = \sqrt{2} \) is irrational, making it reflexive.