4 Congruence relations Recall the congruence relation of numbers congruence modulo n Let s define R4 the binary relation of

Question

4 Congruence relations Recall the congruence relation of numbers congruence modulo n Let s define R4 the binary relation of congruence modulo 4 on Z Let R x y ZxZ x y mod 4 1 Calculate 0 1 2 3 4 5 You can enumerate the elements 2 How many distinct equivalence classes are there Justify your answer 3 Are the equivalence classes disjoint empty intersection What is their union

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