Let R be the relation of congruence modulo 7. Which of the following equivalence classes are equal? [35], [3], [−7], [12], [0], [−2], [17]
I got 3) [35] = [-7] = [0], [3] = [17], [12] = [-2] Is this right?
Let R be the relation of congruence modulo 7. Which of the following equivalence classes are equal? [35], [3], [−7], [12], [0], [−2], [17]
I got 3) [35] = [-7] = [0], [3] = [17], [12] = [-2] Is this right?
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Your answer is correct. Two elements generate the same equivalence class if and only if their difference is a multiple of seven.