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Using a congruence modulo 21? How many sets in the partition of the integers arising? What...

  1. Using a congruence modulo 21?
    1. How many sets in the partition of the integers arising?
    2. What are the equivalence classes of 0 and 1?
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Answer #1

a) 21 sets { [0], [1], [2], ..., [20] }

b)equivalence class of 0 (I.e. [0] ) = {..., -42, -21, 0, 21, 42, ...}

equivalence class of 1(I.e. [1] ) = {..., -41, -20, 0, 22, 43, ...}

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