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ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2014/discrete-mathematics-continuous-mathematics-and-probability/3/a/solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2014 / Discrete mathematics, continuous mathematics and probability / 3 / a / Solution by Codex 0 2026-10-31
The relation is reflexive because . It is symmetric because implies . It is transitive because and imply . It is therefore an equivalence relation, namely congruence modulo an integer for modulus two. Its two equivalence classes consist of the even integers and the odd integers.
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