Question: (10 marks) Let the relation / on Z be defined by xuy if and only if x2 = y(mod 4). (i) (1 mark) Is /

(10 marks) Let the relation / on Z be defined by xuy if and only if x2 = y(mod 4). (i) (1 mark) Is / reflexive? (ii) (2 marks) Is / symmetric? (iii) (2 marks) Is / antisymmetric? (iv) (2 marks) Is / transitive? (v) (2 marks) Is yu is an equivalence relation? If so determine the equivalence classes. (vi) (1 marks) Is y a partial order

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