 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ia/paper-4/2e/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

x - x = 0 \in Z

; if

x - y \in Z

, then

y - x \in Z

; and integer differences add. Its classes are

[x] = x + Z,

the cosets of

Z

R

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