Question: A relation is defined on Z by (x1, x2) (y1, y2) if and only if x1 + y2 = x2 + y. For each

A relation is defined on Z by (x1, x2) (y1, y2) if

A relation is defined on Z by (x1, x2) (y1, y2) if and only if x1 + y2 = x2 + y. For each of the following questions, be sure to provide a proof supporting your answer. a) Is reflexive? b) Is symmetric? c) Is anti-symmetric? d) Is transitive? e) Is an equivalence relation, a partial order, both, or neither?

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